| Subject | Date Asked |
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| Ordinary Differential Equation | 10/6/2009 |
Q: solve the following diffreential equation y" - 8y' + 18y = 4e^(4x) + 3x^3 where the initial ...
A: This is a standard question and can be solved directly by applying the formulae. No special skills ...
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| nonhomogeneous differential equation | 10/1/2009 |
Q: i have to find the general solution of: ((d^2y)/(dx^2)) - 2(dy/dx) + 4y = 2 + 3x + sinx I got as ...
A: This is a very standard question, you can find the method of solving in any textbook. solve the ...
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| differential equations | 9/29/2009 |
Q: The general solution of the differential equation sin y dy = cos y (1 - x cos y) dx
A: Let v = cosy Then dv/dx = - siny dy/dx = - cosy (1 - xcosy) = - v(1-xv) Now let u = 1/v ...
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| Math/econ | 9/18/2009 |
Q: Sorry if this question is not in your area of expertise but I could not find a place to as an ...
A: This requires the knowledge of derivatives. Point elasticity of demand = (P/Q) dQ/dP Since your ...
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| Differential equations | 8/30/2009 |
Q: In the diagram the tangent to a curve at a general point p with coordinates (x,y) meets the x-axis ...
A: PN = y PN/TN = dy/dx y/TN = dy/dx TN = y / (dy/dx) Area of the triangle = tanx (1/2)(PN)(TN) = tanx ...
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| soln for differential equation | 6/3/2009 |
Q: Need to solve this differential equation by integrating this equation (P'(t)) = -2-3P(t)-P^2 (t) ...
A: The equation is separable: dP/(2 + 3P + P^2) = - dt Using partial fractions this can be written as ...
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| Slope field | 5/31/2009 |
Q: I do not understand how to solve this: Draw the slope field for the differential equation (dy/dx) = ...
A: At any point (x, y) draw a small line segment with slope y. For example, at the point (1, 2) draw a ...
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| mixing problem in differential equations | 5/22/2009 |
Q: Please help me with this question. A 200 gal tank is half full of distilled water. At time t = 0 ...
A: a) The tank will be full in 50min [Water enters at 5gal/min and withdrawn at 3gal/min, so the net ...
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| non linear differential equation | 5/21/2009 |
Q: sir, i am finding difficulty to solve this equation. d^2y/dx^2+Ay*dy/dx+B=0, y(0)=0, A,B are ...
A: Try reducing to first order and then solve let v = dy/dx then d^y/dx^2 = dv/dx = (dv/dy)(dy/dx) = ...
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| differential equation | 2/13/2009 |
Q: Three simultaneous o.d.e are given dx/dt=ax+by+cz dy/dt=lx+my+nz (1) dz/dt=px+qy+rz Please ...
A: Differentiate (2) once d^2y/dt^2 = l dx/dt + mdy/dt + n dz/dt Now substitute dx/dt and dz/dt from ...
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| Differential equation | 2/12/2009 |
Q: please solve the two following two DE 1. (D^2+A^2)y=0 initial conditions at x=0 y=B: ...
A: 1) The auxiliary equation m^2 + A^2 = 0 has complex solutions m = Ai or m = -Ai. Therefore the ...
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| solve a differential equation in the form of a power series | 12/12/2008 |
Q: Dr Nyayapati Swami, The equation given equation is y" + (x^2)y = 0 I have gotten my power series ...
A: ou are right, these constants all will be zero. The non-zero terms would be C0, C1, C4, C5, C8, C9, ...
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| Expenential Equation | 12/11/2008 |
Q: I am really stuck! I believe there is an answer to my problem, it is just beyond me. I have ...
A: There is a minor error in your calculation of Y: 1350*1.01^16 = 1582.98 1.01^16 - 1 = 0.17258 Y = ...
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| Does this equation have a standard solution? | 12/8/2008 |
Q: I am designing a control system for controlling current in a thyristor stack, feeding an inductive ...
A: The equation is a linear first order differential equation, which can be solved by calculating the ...
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| Expenential Equation | 12/7/2008 |
Q: I am really stuck! I believe there is an answer to my problem, it is just beyond me. I have ...
A: I think your problem is a linear first order difference equation. From what I understand: Suppose ...
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| Eigen value | 11/17/2008 |
Q: Swami, I am doing a course that involves partial differential arranged in matrix format.We were ...
A: The eigen values tell us about the dynamical stability of the system. There are many examples, and ...
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| method of undetermined coefficients | 11/12/2008 |
Q: I need some help with undetermined coefficients. I'm confused and don't know what i'm doing, can ...
A: Solution to the homogeneous equation is y = a e^x + b e^(-x), where a and b are constants. To find a ...
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| d.equations | 11/4/2008 |
Q: I am meghana. I am very thankful to your previous reply. 1. Solve (D^3 + 2D^2 + D)y = x^2 e^2x + ...
A: What you are asking are all standard problems which can be solved by reading the theory. For the ...
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| Solving equations | 10/30/2008 |
Q: I am meghana and housewife, residing in India. By search engine I came to know about you. I am not ...
A: 1) The auxiliary equation is m^2 + 3am -4a^2 = 0 This has solutions m = a and m = -4a Therefore the ...
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| Partial Differential Equations | 10/24/2008 |
Q: My question really entails advice more than anything. I am in my senior year of college. I am an ...
A: Your project depends on the topics you study in the PDE course. You can add the following to your ...
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| Max/min | 10/21/2008 |
Q: I need some help minimizing this equation... (58+Rpi)(500000/pi)(r^-1)+19*pi*r^2 where R is a ...
A: (58+R*pi)(-500000/(pi*r^2))+38pi*r = 0 38pi*r = (58+R*pi)(500000/(pi*r^2)) r^3 = ...
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| differentiatial notation | 10/20/2008 |
Q: Swami, I am taking a course on calculus as part of my undergrad in Economatrics.Can you explain to ...
A: Partial differentiation refers to differentiation with respect to one variable keeping all other ...
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| differential equation | 9/20/2008 |
Q: If M=yF(x,y) and N=xG(x,y) where F and G are functions of the product xy show that 1/Mx-Ny is an ...
A: you have to show that [ M/(Mx-Ny) ] dx + [ N/(Mx - Ny) ] dy is an exact differential. To show this ...
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| Population growth | 9/15/2008 |
Q: I feel like I dont have all the information I need but the question asks, In a certain culture of ...
A: Assuming the growth satisfy Pe^(rt), we have Pe^(10r) = 6P this gives e^(10r) = 6 10r = ln6 r = ...
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| Introduction of differential equation | 7/8/2008 |
Q: I am in the first year of my Bachelor level and I am trying to teach differential equation myself ...
A: The term "ordinary differential equation" refers to an equation involving an unknown function y = ...
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| Need help in solving 2 d.e. | 7/5/2008 |
Q: Nyayapati Swami. I have a problem on solving these 2 d.e. Can u give me some guidelines on how to ...
A: I dont see any simpler way to solve this problem as it is not an exact differential. If you have ...
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| Need help in solving 2 d.e. | 7/3/2008 |
Q: Nyayapati Swami. I have a problem on solving these 2 d.e. Can u give me some guidelines on how to ...
A: The second one is easy: Divide by 2y dy: [(x + 4y^2)/2y ] + dx/dy = 0 This can be written as dx/dy + ...
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| Separation of Variables | 7/1/2008 |
Q: I must solve using separation of varables but am unsure how to start and solve. x dx-2xy dy - 4y ...
A: x dx = 2y(x + 2) dy [x/(x + 2)] dx = 2y dy [ 1 - 2/(x + 2) ] dx = 2y dy Integrate x - 2ln(x + 2) + C ...
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| First order autonomous differential equations | 6/17/2008 |
Q: could you please give me some hints to solve the following system of differentia equations: ...
A: x' = x y^a, y' = y x^b These can be combined to x'/y' = y^(a-1) / x^(b-1) and hence x^(b-1) x' = ...
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| Differential Equations | 6/6/2008 |
Q: I was wondering if you could help me solve (i.e. differentiate): xy'=2x+3y. Thanks.
A: Rewrite the equation as y' - (3/x)y = 2 This is linear, with integrating factor e^(-3lnx) = x^(-3). ...
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| diff equation | 6/1/2008 |
Q: Swami, I have the general solution of a differential equation as y=Cx^2 +x. I am trying to find the ...
A: The differential equation is obtained by elimination of C from y = Cx^2 + x and dy/dx = 2Cx + 1. ...
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| continous | 5/31/2008 |
Q: I am megahana and undergraduate student. I am not understanding that, 1) what is exact difference ...
A: Let me explain these without using any mathematical terms. If ne draws a curve on a paper without ...
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| intial value problem | 5/24/2008 |
Q: Solve the initial value problem. dy/dx + 4y - (e^-x) = 0 , y(0)= 4/3 Im having troubles on where ...
A: This is a first order Linear equation: dy/dx + 4y = e^(-x) Integrating factor = e^(integral of 4 ) ...
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| Second Order DE solving by power series | 3/24/2008 |
Q: I'm stuck on solving this second order DE by power series expansion about x=0. I've got to the ...
A: It is not that difficult to get the recurrence equation for the coefficients, but what seems to be ...
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| construct | 3/7/2008 |
Q: !! I have a problem that knd of problem. I tried to solve but I found wrong answer. Please help!!! ...
A: Suppose V(t) is the volume, h(t) is the height and r(t) is the radius of the surface. Since a and h ...
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| review for exam | 3/4/2008 |
Q: y'' + 5y' + 4y = 3 with initial conditions y(0)=alfa y'(0)=beta Thanks a lot!!!
A: Auxiliary equation: m^2 + 5m + 4 = 0 which factors into (m + 4)(m + 1) = 0, and hence the roots are ...
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| differential equation | 3/2/2008 |
Q: dy/dx=cos^2(y/x) + (y/x) , y(1)=pi/3 Solve the inital value problem Thanks you very much!!!
A: Let v = y/x (this is the substitution used for homogeneous equations) Then vx = y and therefore ...
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| Differential Equations (tank mixing) | 11/27/2007 |
Q: Two interconnecting tanks each holds 100 gallons of water. A solution containing 2lb/gallon of dye ...
A: There are at least two questions asked on this topic before. Here are the links and hope these ...
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| can help solve this partial differentia equation question | 9/23/2007 |
Q: if x=ρcos(a) and y=ρsin(a),show that ...
A: Use the chain rule and calculate the partial derivatives of V with respect to 'rho' and 'a'. Chain ...
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| pure initial value problem | 9/19/2007 |
Q: ut means u subscript t, and ux means u subscript x I am being asked to solve: ut + x*t*ux = 0 ...
A: Auxiliary equations: dt/1 = dx/(xt) = du/0 Hence u = c1 (c1 is a constant) t dt = dx/x (1/2)t^2 = ln ...
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| diferential Equation | 9/7/2007 |
Q: How to solve the following equation: x^n(x^n+K)d2y/dx2+Q*y=0 Where: n and K real Numbers Q is a ...
A: The equation has singularities so you have to use a transformation and reduce to constant ...
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| Differential equations | 9/2/2007 |
Q: Q1. Solve this DE by Variable separation. (x(1+y^2)^.5)dx =(y(1+x^2)^.5)dy Q2. Find a solution for ...
A: Q1. (x/(1+x^2)^.5)dx =(y/(1+y^2)^.5)dy integrate: (1+x^2)^.5 =(1+y^2)^.5 + const Now solve for y ...
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| ODE, 2nd order | 8/31/2007 |
Q: Please solve: y''=y/(ay+b). a,b are constant. thank you in advance
A: This equation does not seem to have any standard solution. Try using z = ay + b. The equation ...
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| autonomous second ODE | 8/29/2007 |
Q: Q:Could please give any idea how to solve analytically the following autonomous second ODE u'' = h ...
A: This is not going to be easy unless you are looking at some special solutions. Take the first ...
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| How to solve this two questions? | 8/25/2007 |
Q: 1. A linear cam is to be made whose rate of rise (as it moves in the negative x direction) at the ...
A: 1) Gradient of the line = (y - y0)/(x - x0) Therefore, dy/dx = (1/2) (y - y0)/(x - x0) To solve ...
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| Numerically solving set of differential equations from a journal paper | 8/7/2007 |
Q: i have been looking at journal paper and specificically within it the numerical solution of set of ...
A: I did not read the whole paper, but initially I too believed that they are short by one equation. ...
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| everyone for calculus is on vactions... can you help | 7/29/2007 |
Q: just a quickderive h(t)=(t^4-1)^3(t^3+1)^4 i know to use the chain rule but i don't know where to ...
A: I assume your function is h(t)=[(t^4-1)^3] * [(t^3+1)^4] If I am right, then start with the product ...
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| pde | 7/26/2007 |
Q: Does the following pde have an analytical solution? How to find it? ...
A: Start with the assumption U = f(a x + b y), where f is a twice differentiable function. By ...
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| diferentiating the second derivative to find the 3rd | 6/24/2007 |
Q: I was wondering how to differentiate the 3rd derivative Starting with dy/dx = dy/du(du/dx) I ...
A: You answer for the second derivative is correct. One more differentiation will give the third ...
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| Differential Equations | 6/13/2007 |
Q: I'd like to have some explanation for the following two: When solving a differential equation by ...
A: 1) The value of a(0) = 0 and this can be seen by finding the coefficient of x^0 (i.e., the constant ...
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| Differential equation | 6/4/2007 |
Q: How would I solve: dCO2/dt = 2.4E-4 millimols/min - 0.0016*CO2 Thanks.
A: This is a linear equation dCO2/dt + 0.0016*CO2 = 2.4E-4 Integrating factor is e^(0.016t). Multiply ...
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| differential equation | 5/21/2007 |
Q: (1+x)dy/dx + xy= e^x
A: dy/dx + xy/(1+x) = (e^x)/(1+x) First order linear eqn: Find the Integrating factor: answer = ...
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| Diff eqn. problem | 5/18/2007 |
Q: I am a mature student, medically retired, doing a correspondence maths course for fun (occupational ...
A: In that case the solution is much simpler and no need for multiple angle formulas for cosine ---- ...
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| Diff eqn. problem | 5/16/2007 |
Q: I am a mature student, medically retired, doing a correspondence maths course for fun (occupational ...
A: The problem you are facing is integrating the right side Integral -(sinx)/(cos3x) dx Use multiple ...
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| Separable differential equation | 4/15/2007 |
Q: How can I solve the following initial value problems?: dy/dx=(x^2y+y)/(x^2-1) and xdy/dx=(cosy)^2 ...
A: Both are separable equations. 1) dy/dx=(x^2y+y)/(x^2-1) dy/dx = y(x^2+1)/(x^2-1) dy/y = ...
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| Differentiation | 4/10/2007 |
Q: What is d[u’(c1)/u’(c2)] divided by d[c1/c2]? where u(ct) = log(ct). t= 1,2 I get d[(1/c1)/(1/c2] ...
A: I did not quite understand your question. From what I can understand, I see the following solution: ...
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| Salt Tank and Population Growth problem | 4/6/2007 |
Q: I'm completely stuck on how to solve this specific salt tank problem, and this specific population ...
A: Yes, I agree the second question is not quite clear. Is it after 72 hours of harvesting or 72 hours ...
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| 1st order non homogeneous diff. equation | 4/2/2007 |
Q: i've a first order non homogeneous differential equations d/dt (w) + (V/h) w = A (1-cos*omega(t)) i ...
A: Particular sloution: Let w = B + C cos(omega t) + D sin(omega t) Then dw/dt = -C omega sin(omega t) ...
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| quadratic | 3/2/2007 |
Q: Your Question was: Hiya.. i have done the first part of this question, which is to draw a table ...
A: Just write y = ax^2 + bx + c, and then substitute the values from your table. You will get three ...
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| Implicit form | 12/18/2006 |
Q: Have to find the implict form of the equation: dy/dx= -(e^x+e^-x) / -y(e^x - e^-x + 1)^3
A: You have typed a minus sign in the numerator and denominator of the right side: ...
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| Differential equations in Biology | 12/14/2006 |
Q: Sir, My questions is that i need some sample questions of differential equations involving ...
A: One application is population dynamics, details can be found in the following website: ...
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| system's of autonomous ODE's | 12/12/2006 |
Q: I want to give me some tips for how to linearize the following nonlinear system such that I can find ...
A: The linearization at the critical point (0, 0) is just dx/dt = -y, dy/dt = x The linearisation at ...
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| Initial Value | 11/24/2006 |
Q: Having a real headache over this part: Need to find the solution to dy/dx=cos(4x) / 3-sin(4x) ...
A: Solution can be found by integration. Note that d/dx (3-sin(4x))= -4 cos(4x). Therefore, ...
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| Initial Value Problem | 11/21/2006 |
Q: I understand the characteristic equation, but my instructor does that and then adds in another ...
A: The another equation which your instructor adds is the particular solution for the problem. ...
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| Fourier series | 11/16/2006 |
Q: if it asks a graph for function of period 2pi which is defined by f(x)=x in o<x<pi and is odd, in ...
A: Let me first explain the case where the function is even. In this case f(-x) = f(x). Therefore, the ...
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| differential equations | 11/14/2006 |
Q: I tried to solve the diff eq'n dy/dx=(y-x-2)^2 with all methods that I know but I can't find the ...
A: Change of variables: Let U = y-x-2. Then dU/dx = dy/dx - 1 = U^2 - 1 In the variabe U, the equation ...
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| Differentiating a Trigonometric Function | 10/26/2006 |
Q: Let y = (1-cosx)/(1+cosx) Show that dy/dx = t+t^3 where t=tan(x/2) MY ATTEMPTS: ============ ...
A: You made a mistake in the last expression. sinxcosx would cancel out and you should have 2sinx in ...
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| nonhomogeneous equ | 10/25/2006 |
Q: I need some help with undetermined coefficients. I'm confused and don't know what i'm doing, can ...
A: Let y = (e^t)(A cos2t + B sin2t) Differentiating this twice, y" = (e^t)[(4B - 3A)cos2t - (4A + ...
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| initial value problems | 10/19/2006 |
Q: I need help in solving this problem, I am completely lost!Solve the initial value problem ...
A: There is atyping error in your question. I think your equation is y"+ 4y'+ 3y = 0 This is a ...
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| differential equations | 10/17/2006 |
Q: how to solve this equation? y'=t^3*y^2 y(1)=-2 Thanks
A: The equation is separable: (1/y^2) dy = t^3 dt On integration, - (1/y) = (1/4) t^4 + C Use the ...
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| Differentiating Trigonometric Equations | 10/15/2006 |
Q: Could you advise me how to get started with the following question. y= INV Sin (x/5) Should i ...
A: First you should be clear on what the INV stands for. If it is the inverse of the number, like INV ...
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| Particulart solution | 10/5/2006 |
Q: Q1.) How do we find a particular solution of y cosx dx + 1/y dy = 0. Q2.) The question is: ...
A: Q1) This is a separable first order equation. Rearrange the terms so that the equation reads: - ...
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| Differential Equations - Mixing Problem | 9/26/2006 |
Q: Here it is, A Tank is filled with 100gal of salt solution containing 1lb salt/gal. Fresh Brine ...
A: Please refer to previous questions and answers. There are two questions similar to yours already ...
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| By separation of Variables | 9/23/2006 |
Q: Sir Please solve this Problem for me Solve the differential equation by separation of variables ...
A: (4y + yx^2) dy = (2x + xy^2) dx y(4 + x^2) dy = x(2 + y^2) dx [y/(2 + y^2)] dy = [x/(4 + x^2)] dx ...
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| mixing problems involving differential equations | 9/17/2006 |
Q: A tank contains 1000 litres of pure water. Two brine solutions are pumped into the tank. The first ...
A: There was a similar question asked sometime ago. May be you want to look at that solution also: ...
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| differetial equations | 9/3/2006 |
Q: Using these initial boundaries: du/dt=d^2u/dx^2 (for 0<x<pie, t>0) u(0,t)= 0 (left boundary ...
A: It is difficult to type the solution in text and that is why I gave you the link. Please visit my ...
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| 2nd order DE | 9/2/2006 |
Q: I understand the basic steps associated with solving a forced damped harmonic oscillator problem. ...
A: Follow the same method until you get to the point of finding the particular solution. Your ...
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| application problem | 8/26/2006 |
Q: i have one equation : m dv/dt=W-B-kvhow i can find v(t)and y(t)?
A: (You have not mentioned what are m, W, B and k. I assume they are just some constants) m ...
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| Population Decay | 7/31/2006 |
Q: A population had been growing uninhibited at a rate of .01 per year from the day the first settlers ...
A: The growth rate 0.01 per year, indicates that you dont need differential equations to model this ...
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| growth rate | 6/19/2006 |
Q: The number of bacteria in a Petri dish was intially determined to be 200. After one hour, the number ...
A: The calculations are little bit involved, and I hope that you can follow my steps: Multiply [EQN 1] ...
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| growth rate | 6/16/2006 |
Q: The number of bacteria in a Petri dish was intially determined to be 200. After one hour, the number ...
A: dB/dt = B(a-bB) Use separation of variables: db/[B(a-bB)] = dt Use partial fractions: (1/a) [ (1/B) ...
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| circuits | 6/15/2006 |
Q: a 10 ohm resistor, a .1 farad capacitor, and an alternating power source equal to 10cos(t) are ...
A: The differential equation for RC circuits is: R(dQ/dt) + (1/C)Q = E Given R = 10, C = 0.1, E = ...
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| diff | 6/14/2006 |
Q: dy/dx = (y^2-1)/x i managed to seperate the variables and figure out up to intergrating the ...
A: 1/[(y-1)(y+1)] =(1/2) [ 1/(y-1) - 1/(y+1) ] Integrating this will give you (1/2) [ln|y-1| - ...
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| Power Series | 5/23/2006 |
Q: Nyayapati Swami I wanted if its possible that u can help me with this problem that i have been ...
A: >>Hi Dr. Nyayapati Swami I wanted if its possible that u >>can help me with this problem that i ...
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| differential equations | 5/8/2006 |
Q: Find the general solution of (x+y-y*sec^2(x))dx + (x-tan(x))dy=0
A: (x+y-y*sec^2(x))dx + (x-tan(x))dy = 0 Regroup the terms of the equation: x dx + (y dx + x dy) - (y ...
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| Power Series | 4/8/2006 |
Q: Swami, I was wandering if you could give me a basic step by step on how to apply power series in ...
A: Sorry for my delayed reply. Power series solutions are usually used for second order linear ...
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| First Order Diff. Equation | 3/1/2006 |
Q: Can you help me to define the type of that equation? I do not know how to start to solve it. It is ...
A: This can be solved by a change of variable (substitution): Let Z = 9x + 4y - 1. Then dZ/dx = 9 + 4 ...
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| Two dimensional transient problems | 2/26/2006 |
Q: The governing diffrential equation for the Two dimensional transient conduction(assuming constant ...
A: The solution depends on the initial/boundary conditions and is quite similar to the one dimensional ...
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| D Eqns | 2/6/2006 |
Q: Also, to integrate just plain cos^2x would it be cos^3x/3 ? thankz
A: 1/cos^2x = sec^2 x. Therefore, its integral is tan x + C. For cos^2x, you have to use double-angle ...
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| DE | 2/5/2006 |
Q: I am independently working through "Differential Equations" by K.A. Stroud and Dexter Booth. The ...
A: v = x - 1 x = v + 1 dx/dy = dv/dy dy/dx = dy/dv making these substitutions, the equation becomes: ...
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| Inverse laplace transform of.... | 11/27/2005 |
Q: Swami, I am in the middle of solving a DE using Laplace transform, but I am having trouble finding ...
A: Inverse Laplace transform of e^(-s) is the delta function, delta(t-1). You can also use the Heavy ...
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| Differential Equation | 11/10/2005 |
Q: (M+m(1-(t/T)))dv/dt = F M,m,T and F are constants, v is speed and dv/dt is acceleration of a ...
A: (M+m(1-(t/T)))dv/dt = F dv = [F/(M+m(1-(t/T)))] dt On integration, v = -(FT/m)ln|M+m(1-(t/T))| ...
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| differential equation | 10/28/2005 |
Q: please solve this differential equation: M*((d^2x)/(d^2y))=(A*x)/(x^2+y^2)^0.5 -K*(dx/dy)
A: This is a quite interesting problem (and it seems that there may not be any explicit formula for the ...
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| differentiation | 10/3/2005 |
Q: hw do i solve (root x + 1/root x)all squared. i am having difficulty please help. i dont know ...
A: (root x + 1/root x)all squared Let me write your question as follows:Differentiate the function ...
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| dividing a circle | 10/1/2005 |
Q: I need to draw a cogwheel (needs to be accurate). I think that involves dividing a circle into equal ...
A: Let O denote the center of the circle and A be any point on the circumference. Therefore, length of ...
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| mixing problem using diff.equ. | 9/30/2005 |
Q: There are two tanks; A and B. Tank A has 100litres of water and Tank B has 100litres of brine ...
A: At the end of each minute, volume of Tank A will increase by -4+6 = 2 litres, and volume of Tank B ...
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| solve the initial value problem | 9/22/2005 |
Q: (2xCosy + 3x^2y)dx + (x^3-x^2 siny - y)dy = 0; y(0)= 2
A: This is an exact first order differential equation. You can easily verify that: (d/dy) [2xCosy + ...
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| Coupled PDE | 7/31/2005 |
Q: Can u help me with this soln. C,t=-v(C,x)-kCL L,t=-v(L,x)-kCL where, C=C(x,t),L=L(x,t),v and k are ...
A: I am sorry, I could not give an early reply. I suggest one method of solving (leaving the details ...
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| tangents | 7/17/2005 |
Q: I am a mathematics teacher currently guiding 17 year olds. Recently I came across an unfamiliar ...
A: Equation of a line through (1, 5) is y - 5 = m(x - 1). Suppose the tangent touches the curve at a ...
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| laplace transforms | 6/27/2005 |
Q: (D^2)Y +y=2ä(t-2ð)-2ä(t-4ð) or L(y"(t))+y=2ä(t-2ð)-2ä(t-4ð) In words is dy square over dt square ...
A: The right side of your equation is not clear to me: 2ä(t-2ð)-2ä(t-4ð) ?? OR 2Omega sign(t-2Pi ...
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| Prob/Stat | 6/18/2005 |
Q: I am having problems with 2 questions I'm working on, hopefully you can help me with the solution. ...
A: 1) Minimum = 0 (n parallel lines) Maximum = nC2 = n(n-1)/2 (no two lines are parallel, number of ...
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| Particular Solution | 5/12/2005 |
Q: Firstly, thanks for your time with my earlier questions. This question is in relation to the ...
A: QUESTION 1: The general solution (in implicit form) was: 3y^(-1/3) = 2(cos x)^6 + A. To find y ...
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| Initial Value Problem | 5/11/2005 |
Q: Q1. I have to find the solution of the initial value problem: (dy/dx) = (e^-x)/(5+e^-x) y=3 when ...
A: QUESTION 1: y = integration[ (e^-x)/(5+e^-x) dx] = - log(5 + e^-x) + C [log is the base e ...
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| Integration | 5/6/2005 |
Q: I need your help. eg. INT[(4-x^2)dx] from -2 to +2 is area under the graph. I know ...
A: Suppose we have a function which is the derivative of another function, for example, y = f'(x). ...
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| Power Series Solution for Differential Equation | 5/4/2005 |
Q: Swami, I am a college student currently working on a problem. My instructions are to find the first ...
A: Since you require the first four non zero terms, you need not solve the recurrence equation ...
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| mathematica | 4/24/2005 |
Q: i was wandering if you could help me solve this mathematica problem, and if you cant could you tell ...
A: I do not use Mathematica for computation, so I cannot be of much help to you. You have a FOR loop in ...
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| central limit | 4/7/2005 |
Q: i'm sorry about the amount of questions everytime. Can you clarify the rest for me, with steps ...
A: NOTATION USED: SAMPLE MEAN = X^BAR, POPULATION MEAN = MU, STANDARD DEVIATION = SIGMA, SAMPLE SIZE ...
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| central limit | 4/4/2005 |
Q: Can you explain these central limit theorem questions for me? 1. the rules of golf state that teh ...
A: ALL QUESTIONS REQUIRE THE SAME METHOD OF SOLVING. IF YOU UNDERSTAND ONE, YOU SHOULD BE ABLE TO DO ...
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| math | 4/3/2005 |
Q: Hi Dr Nyayapati, I would just like you help me with these 3 questions that i'm stuck on below. The ...
A: 10. The production process used to produce 500 ft. spools of electrical cable operates continuously, ...
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| math | 3/31/2005 |
Q: I would just like you help me with these 3 questions that i'm stuck on below. The ones you sent me ...
A: QUESTION 1: You have just the mean 6.76 and standard deviation 2.6. From this it is not possible to ...
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| math | 3/27/2005 |
Q: -Just wanted to let you know that i'm still waiting for your response! Thank you =) take care!just a ...
A: Since you are asking questions which are not related to differential equations it is difficult for ...
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| limits | 3/25/2005 |
Q: I have just purchased the book,Calculus for Dummies,and I found that by limits, it doesn't teach ...
A: You can use differentiation (L 'Hopitals rule): Lim (2^x/x) = Lim [ (d/dx)(2^x) / (d/dx)(x) ] ...
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| math | 3/23/2005 |
Q: -just a clarification for 1 b. how did you get 30 m for sewing defect?HI dr. nyayapati! sorry to ...
A: You can get a 4m by 10m solar cover by sewing four 1m by 10m strips. Two strips are put together by ...
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| math | 3/21/2005 |
Q: nyayapati! sorry to bother you again. Can you guide me with these new questions please? Thank you so ...
A: QUESTION 1(a): There is an average of 1 puncture in ever 1000 m^2 of plastic material Therefore, p ...
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| POISSON | 3/17/2005 |
Q: -thank you dr nyayapati for your help! I look forward to hear from you for the rest. Thank u so much ...
A: QUESTION 6 (a) lamda = 2 Probability of 0 errors = e^(-landa) = e^(-2) = 0.1353 (b) lamda = (2)(2) = ...
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| POISSON | 3/16/2005 |
Q: Nyayapati Can you show me how to do these poisson questions. Can you just show me the x, and lamda ...
A: QUESTION 1: lamda = (1.2)(2)=2.4 Answer = e^(-2.4)[(2.4^0/0!) + (2.4^1/1!) + (2.4^2/2!)] = ...
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| Extremely difficult problem that bothers me | 3/14/2005 |
Q: I am taking calc 1, and I am having an awfully difficult time solving this one problem. A company ...
A: A company charges $200 for each box of tools on orders of 150 or fewer boxes. The cost to the buyer ...
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| math | 3/11/2005 |
Q: Can you please show me the rest on how you do the other questions with steps. It is so much easier ...
A: Sue. I can spend a maximum of 10 mins / day on this website. So if your question is too long I have ...
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| Suspension system with relation to Newtons F=ma??? | 3/10/2005 |
Q: ok i'm really stumped! --------- Q, Assume that the spring force obays Hook's Law: Spring force = ...
A: I did not completely understand your question (I feel there is something missing!). What I ...
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| an unlinear equation | 3/9/2005 |
Q: Sorry for taking your time. Would you please tell me a solution for the quantity of binary search ...
A: I am not that familiar in this area of Mathematics. But I can give you some hints. The numbers you ...
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| math | 3/8/2005 |
Q: Nyayapati swami! I was doing these binominal probabability distribution questions and i'm stuck on ...
A: Question 1: p = 0.07, q = 1- p = 1 - 0.03 = 0.93. Let k = number of left handed people. n = 25 ...
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| math | 3/5/2005 |
Q: Nyayapati Swami, I am just waiting for you to explain the last 3 questions. Thank you so much once ...
A: Here are the answers. Please go through each step carefully and if you find any difficulty in ...
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| math | 3/2/2005 |
Q: I was just reviewing over this one question and i'm kinda stuck. The teacher was taking it up during ...
A: You missed out the rates for 4/1 - 5/31 (which should be the fourth column of the data). I had your ...
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| Solving 4 simultaneous differential equations | 3/1/2005 |
Q: I am doing a project on space charge modelling which involves solving a rather complicated partial ...
A: The equations are indeed more complex to solve directly. I suggest the following simplification: ...
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| -1 | 2/25/2005 |
Q: but for question 4 again, i really did not understand how you get (1 - sqrt(3) + pi/3)a^2 for the ...
A: sorry for my late reply. I was a little busy over the weekend. In order to answer your question, I ...
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| -1 | 2/23/2005 |
Q: 1)why is (-1)*(-1)=1 ? 2)sinx=opp/hyp for right-angle triangles, so what does it really means to ...
A: your questions are not anywhere near the subject of differential equations. Anyway, here are the ...
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| hello expert! | 2/18/2005 |
Q: I just want to thank you for helping me out with those previous questions. I have a few more here ...
A: QUESTION 5: Find CV (coefficient of varaiation): CV for Average worked hours = 10.58% CV for GDP ...
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| stats | 2/17/2005 |
Q: Can you please help me with this stats problem. Can show me how to do those 3 questions below and ...
A: Usually I answer questions on the topic I volunteered (Differential equations). This is the first ...
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| Find the greatest sum with moving cursor | 2/2/2005 |
Q: This is an interesting programming question that I would like your help to solve. Though the ...
A: You can solve this problem using methods of Graph Theory. Each possible cursor position can be ...
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| Differential equation | 1/23/2005 |
Q: Given the differential equation: (d^2y/dx^2)=(pg/T)sqrt(1+(dy/dx)^2) where p is the linear density ...
A: You are right, y'=sinh(pgx/T) [Eq1] and the second derivative is ...
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| mahts | 1/21/2005 |
Q: What is the limit of (2x +5) /(3x-5) as x approaches 10 I think it is 1 am I correct? Of ...
A: what is Lim as x approaches 1 0f (x-1)\(¡Ìx-1) the square root only applies to the x no the ...
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| mahts | 1/20/2005 |
Q: What is the limit of (2x +5) /(3x-5) as x approaches 10 I think it is 1 am I correct? Of ...
A: What is the limit of (2x +5) /(3x-5) as x approaches 10 I think it is 1 am I correct? Yes, you ...
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| Calc I Problem | 1/16/2005 |
Q: The problem is actually y = ((e^(ax)) - (e^(-az))) / ((e^(ax)) + (e^(-az))) . There is no x.Can you ...
A: You can still do this using hyperbolic functions. But I will show you how to do this derivative ...
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| differentiation | 12/22/2004 |
Q: dy/dx = 1/2x^1/2-x^-1/2+1/2x^-3/2 (from this how do i get) =x^2-2x+1/2x^3/2 = (x-1)^2/2x^3/2 ...
A: This is just algebra (indices). Here goes... (1/2)x^1/2 - x^-1/2 + (1/2)x^-3/2 = (x^1/2)/2 - ...
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| derivatives | 12/17/2004 |
Q: I know the rules of differentiation, the definition of the derivative and I know how to solve the ...
A: Derivatives are calculated for functions. The derivate represents the rate at which the function ...
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| Proportions | 12/16/2004 |
Q: I know that this is not a question related to differential equations, but perhaps you can provide a ...
A: This means that the pens and money are in the same proportion (in this case 1:2). More precisely, we ...
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| Braking Distance Dynamic Equations | 12/15/2004 |
Q: Below is the problem I am currently trying to prove. The problem I am having is modeling the ...
A: your question is quite interesting and it really took me some time. I am still not clear with some ...
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| calculus | 12/9/2004 |
Q: I know this if for dif-EQs but I have a calculus question that should be pretty easy. "Determine ...
A: Level curve of a function f(x,y) through a point x = a, y = b is given by the equation ...
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| mathematics | 12/1/2004 |
Q: what is relations represented by tables and relations represented by equations
A: A relation from a set A to a set B is defined as any subset of the cartesian product A x B. When ...
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| acres to miles | 11/21/2004 |
Q: how many acres are in a mile
A: I am sorry, I will answer questions on differential equations only. However, I will answer this one. ...
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| differential eq in 3rd order | 11/17/2004 |
Q: how can i solve 3rd order diff.eq in runge-kutta method to get output in programming in "c" ...
A: I volunteered for only first and second order ODE, but you are asking a third order problem. One way ...
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| A spherical bouy(density 0 | 11/4/2004 |
Q: A spherical bouy(density 0<p<1),radius R, is partially submerged in water to a depth H. The ...
A: First since H <2R (i.e., depth < diameter), it follows that 0 < H/R < 2. Thus the root in the ...
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| Numerical ODE's | 10/28/2004 |
Q: the exact solution to the IVP dy/dx=k(x-y). 0<x<=1 y(0)=1 is kx-1+(1+k)e^-kx y = ...
A: the value for k is not mentioned in your question. The forward difference formula is: y(x+h) = ...
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| 1) Sketch the graph for the... | 8/25/2004 |
Q: 1) Sketch the graph for the function of: f(x)=2-(x)/(x)^(2)-3 i) find the intervals on which f is ...
A: Your question is little bit confusing. Do you mean (a) f(x) = [2 - x] / [x^2 - 3] or (b) f(x)= ...
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| find each of the following... | 8/25/2004 |
Q: find each of the following indefinite integrals a)x^(-1/2)In(x) dx (x>0) ...
A: a)You have to do an integration by parts. For this, write x^(-1/2)dx = d[2 x^(1/2)]. So choose u = ...
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| Find the volume of the solid... | 8/24/2004 |
Q: Find the volume of the solid of revolution obtained when the region under the graph of f(x)=sec(x), ...
A: volume = integral (pi * sec^2(x) dx) from x = pi/6 to x = pi/3 = [pi * tanx] from x = pi/6 to x = ...
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| floor function | 8/16/2004 |
Q: I was looking at a solution to a problem and saw the following result: [2x] = [x] + [x + 1/2] Where ...
A: Khan I volunteered to answer questions on differential equations only. I am not an expert in number ...
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| solving first order equations | 8/11/2004 |
Q: can u explain how to solve the equation d^2y/dx^2 + (dy/dx)^n = 0
A: Let u = dy/dx. Then the equation will reduce to du/dx + u^n = 0, or du/dx = -u^n, or du/u^n = -dx. ...
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