An interesting ODE perhaps?

by gvk
Tags: interesting
 P: 83 Very simple in writing, but hard to solve: $$x*\frac{dy}{dx}=(y^2-y x^2)/(y^2+x^2)$$
P: 668
 Quote by gvk Very simple in writing, but hard to solve: $$x*\frac{dy}{dx}=(y^2-y x^2)/(y^2+x^2)$$
Maybe convert to polar coodinates? That x2+y2 wants to be r2. Maybe not though

Alex
 Quote by gvk Very simple in writing, but hard to solve: $$x*\frac{dy}{dx}=(y^2-y x^2)/(y^2+x^2)$$
$$(y^2-yx^2)dx-(xy^2+x^3)dy=0$$