Differential Equations - Bernoulli Problem

[steelphantom]

Homework Statement

Solve the equation $$y' = \frac{2xy}{x^2-y^2}$$

Homework Equations

The Bernoulli multiplier thing which I don't feel like typing out.

The Attempt at a Solution

I'm attempting to separate the equation so I can have y and dy on one side and x and dx on the other, but the denominator is making that really hard for me to do. Any ideas on how to separate it? Thanks.

 

[gammamcc]

Something like u=y/x and so y' = xu'+u. Divide the numerator and denominator of RHS by x^2 to get into the u form. Just make sure you substitute away all the y and y' terms.