Efficient Techniques for Solving Differential Equations: A Helpful Guide

[meti20]

Help:(solving diff. eq.)

Hi
how can I solve this problem:
(y^2)y'=a.(x^1/2)+b.y
a & b are constant and I don't know anything about a and b(I mean the range and ...).
I solve this with MATLAB and MAPLE but they didn't give good answers.
please help me how to find y(x).

 

[gomunkul51]

I don't see a way to solve it in any elementary functions.
it's a non-linear non-homogeneous ODE, with two different powers of y(x) in it.
Maple also gives a non elementary function solution, i think that is the best you can get :)