# Solving a non-linear non-seperable differential equation

1. May 25, 2008

I'm having trouble solving this differential equation:

(2x^2)yy' = −1

I'm just really not sure how to go about solving this.

2. May 25, 2008

### Mute

Why isn't it separable?

$$2x^2 y \frac{dy}{dx} = -1 \Rightarrow 2y dy = -\frac{dx}{x^2}$$

3. May 25, 2008