# An interesting ODE perhaps?

1. Oct 8, 2005

### gvk

Very simple in writing, but hard to solve:
$$x*\frac{dy}{dx}=(y^2-y x^2)/(y^2+x^2)$$
:tongue2:

2. Oct 8, 2005

### amcavoy

Maybe convert to polar coodinates? That x2+y2 wants to be r2. Maybe not though

Alex

3. Oct 9, 2005

### saltydog

I tend to look at it this way:

$$(y^2-yx^2)dx-(xy^2+x^3)dy=0$$

but are unable to proceed. It's not exact, can't make it exact, and can't come up with any differentials by inspection.