What is the Solution to the 2nd Order Nonlinear ODE y'' = x^2 * y?

mistergrinch · Oct 20, 2009

I'm trying to solve the equation y'' = x^2 * y. This looks like it should be simple, but I don't have mathematica and the only reference I've found calls it a special case of the Emden-Fowler equation and refers to a solution in a book I don't own. Does anyone know the solution to this equation? Thanks.

hamster143 · Oct 20, 2009

http://www.wolframalpha.com/input/?i=y%27%27%3Dx^2+y&x=0&y=0

:)

What is the Solution to the 2nd Order Nonlinear ODE y'' = x^2 * y?

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