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Calculus/Differential equation

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Expert: Alon Mandes - 10/18/2008


Question
Find the particular solution to the differential equation y′ = 3y  given the general solution  y = Ce3x  and the initial condition  y(1) = 20

Answer
This differential equation is homogeneous 1st order. & the particular
solution is ce^3x. We need to find c. To do so, we will substitute
the value of the initial condition : 20=ce^3 -> c=20e^(-3).
So the solution is : y(x)=20*e^(-3)*e^(3x)=20e^(3x-3)=20e^[3(x-1)].

Alon.

Calculus

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Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

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