# Homework Help: Y'' = -2xy y'

1. Nov 3, 2012

### superg33k

1. The problem statement, all variables and given/known data

Solve for y: (note the one in the title is wrong)

$$\frac{d^2y}{dx^2} = -2xy \frac{dy}{dx}$$

2. Relevant equations

None that I can think of.

3. The attempt at a solution

[strike]Oh so many failures. None which solved anything. I don't even know if this equation is solvable. :([/strike]

Well I think the correct solution should contain two unknowns. Two solutions are y=A and y=3/2 x^(-2) but a linear combination of these is not. Also no other solutions can be expressed as a finite polynomial. So where the heck do I go from here?

Last edited by a moderator: Nov 7, 2012