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About Dr. Nyayapati Swami
Expertise
I can help you in solving first and second order differential equations. Questions must be at the Undergraduate level. Do not expect me to do all your homework.. If you have a homework question with no clues on how to go about, I will only give you some pointers on solving them.

Experience
Ph.D. in Mathematics with more than 15 years of teaching.
In addition to undergraduate calculus, I taught many more advanced subjects like Complex Analysis, General Topology, Numerical Analysis, Operations Research, Graph Theory, Mathematical Analysis, Mathematical Economics, Optimisation Theory.

Education/Credentials
Ph.D. (University of Toledo, USA)

 
   

You are here:  Experts > Science > Mathematics > Differential Equations > non linear differential equation

Differential Equations - non linear differential equation


Expert: Dr. Nyayapati Swami - 5/21/2009

Question
sir, i am finding difficulty to solve this equation.

d^2y/dx^2+Ay*dy/dx+B=0,
y(0)=0,
A,B are constants independent of x.

i need an analytical solution. kindly help me and oblige.

Answer
Try reducing to first order and then solve

let v = dy/dx
then d^y/dx^2 = dv/dx = (dv/dy)(dy/dx) = (dv/dy)v

The equation will reduce to first order in v, y variables, which I believe would be solvable (otherwise you need to find a power series solution)

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