| Subject | Date Asked | Expert |
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| differential equations | 11/9/2009 | Scott A Wilson |
Q: please can u solve this differential equations.. 1, xydy/dx+y^2-x^2=o 2,y^2xdy+(x^3-4y^3)dx=o
A: Yeah, its all coming back to me now on how to really solve these things. 1. xyy' + y² = x². Note ...
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| differential calculas | 10/31/2009 | Scott A Wilson |
Q: Differentiate the below with chain rule 3√((4-5x^2 )^4 ) ANSWER: ...
A: Then it was (4-5x²)^(4/3). This is (f(x))^(4/3) where f(x) = 4-5x². The derivative is ...
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| probability | 10/8/2009 | Scott A Wilson |
Q: In a certain plant there are on an average 4 accidents per month.Find the probability that in a ...
A: This sounds like an exponential distribution with L=1/4 where L is for lambda. Since the ...
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| Ordinary Differential Equation | 10/6/2009 | Dr. Nyayapati Swami |
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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| Ordinary Differential Equation | 10/6/2009 | Scott A Wilson |
Q: Solve the differential equation y" - 8y' + 18y = 4e^(4x) + 3x^3 where the initial conditions are ...
A: The equation is y" - 8y' + 18y = 4e^(4x) + 3x^3. The simplest solution that can be found would be y ...
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| ordinary differential equations | 10/6/2009 | Scott A Wilson |
Q: Tank T1 with 400litre capacity is initially half full with 100grams of salt dissolve in water. Tank ...
A: Again, I' not quite sure this is right, but here goes. You can look at it and tell me what you ...
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| differential equations | 10/5/2009 | Scott A Wilson |
Q: question is: m((d^2y)/(dt^2)) + c(dy/dt) + ky = 0 if c^2=4mk find the geneal solution y(t). i got ...
A: I believe that to be correct. No, that can't be safely simplified on more. You could say the answer ...
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| Derivatives | 10/3/2009 | Scott A Wilson |
Q: could u please help me out.. i know it sounds like a stupid question ut i'm realy confused! i have ...
A: It is learned in calculus, which is suppose to be taken before differential equations. The ...
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| nonhomogeneous differential equation | 10/1/2009 | Dr. Nyayapati Swami |
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 | 10/1/2009 | Scott A Wilson |
Q: question is: m((d^2y)/(dt^2)) + c(dy/dt) + ky = 0 if c^2=4mk find the geneal solution y(t). i got ...
A: If we had y" + 3y' + 2y = 0, the equation to solve would be done by finding the roots of x² +3x + 2 ...
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| differential equations | 9/29/2009 | Dr. Nyayapati Swami |
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 | 9/23/2009 | Scott A Wilson |
Q: I am having a problem with this equation. Can you please explain the last step to me I am having ...
A: By the way, I assume I am Mr. Wilson, and it should say, 'Private: Yes' (it currently says 'Private: ...
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| Homogeneous/Bernoulli differential equations | 9/22/2009 | Scott A Wilson |
Q: Can a homogeneous differential equation be solved using the Bernoulli method? Will you get ...
A: Here are some sample Bernoulli differential equations dy/dx + y/x = x²y², dy/dx - y = x(³√y), ...
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| Math/econ | 9/18/2009 | Dr. Nyayapati Swami |
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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| linear differential equation | 9/13/2009 | Scott A Wilson |
Q: How can I solve the linear differential equation dx/dy + x = (y-3)/2 ? ANSWER: Divide both terms by ...
A: Sorry about that. I am too use to seeing dy/dx I sometimes skim it and assume thats what is there. ...
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| ODE | 9/10/2009 | Scott A Wilson |
Q: solve the differential equatons 1. y'+2y=3x+5 2. sqrt(1-y^2)dx+y(sqrt[1-x^2]dy=0 3. e^-s(1+ds/dt)=1 ...
A: 1. y' + 2y = 3x + 5; let y = Ax+B, so y'=A. Put these back in the equation. Separate the constants ...
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| linear differential equation | 9/7/2009 | Scott A Wilson |
Q: How can I solve the linear differential equation dx/dy + x = (y-3)/2 ?
A: Divide both terms by 2 and drop the parenthesis, giving dx/dy + x = y/2 - 3/2. Move all terms to ...
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| Differential equations | 8/30/2009 | Dr. Nyayapati Swami |
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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| Simultaneous differential equations | 7/15/2009 | Abe Mantell |
Q: Respected Sir, I'm currently pursuing a project on the cycle times of mist flow to a Nutrient mist ...
A: Sorry for my delay. I tried to get my CAS (computer algebra system), Maple 12, to solve your system ...
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| Differential equation | 7/10/2009 | Abe Mantell |
Q: An underground storage tank is being filled with liquid as shown in the diagram.Initially the tank ...
A: dV/dt=20-k*h^2, based on the info given in the problem. However, V=(4/3)h^3, thus, ...
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| Differential Equation, Solutions | 6/6/2009 | Abe Mantell |
Q: 1.Determine the singular points of the given differential equation, then classify each singular ...
A: 1. Re-written as: y'' + (x^2-1)/(x^2(x+1)) y' - y/(x^2(x+1)) = 0 . Singular points where ...
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| soln for differential equation | 6/3/2009 | Dr. Nyayapati Swami |
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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| Maths2 | 5/31/2009 | Abe Mantell |
Q: solve the initial vale second order homogeneous linear differential equation: y"-4y'+4y=0 ...
A: Let y=e^(rx), so we get the characteristic equation: r^2-4r+4=0 ==> (r-2)(r-2)=0 ==> r=2,2 Repeated ...
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| Slope field | 5/31/2009 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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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| integrate eq | 1/5/2009 | Abe Mantell |
Q: bs'd, What's the generic expression(primitive) resulted from the integration of the following ...
A: Wow, that's a tough one! Let me just make sure, the problem is: Integrate[dx/(e^(-k1*x)+k2*x+k3)] - ...
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| solve a differential equation in the form of a power series | 12/12/2008 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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 | Dr. Nyayapati Swami |
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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