Solving a non-linear non-seperable differential equation

[SuperNomad]

Main Question or Discussion Point

I'm having trouble solving this differential equation:

(2x^2)yy' = −1

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

 

[Mute]

Why isn't it separable?

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

 

[SuperNomad]

Ah yes, that's actually quite easy, I'm just being dense.

Thanks for the help.

SuperNomad