Differential Equation With Subsitution

[Moragor]

Homework Statement

I have to solve (y^2)(y'')=y' using substitution.

Homework Equations

The Attempt at a Solution

I substituted in v for y' and v*(dv/dy) for y'' and then I got stuck at dy/dx=-1/y+C. Am I doing this wrong, or am I just missing how to solve that second equation?

 

[quantumdude]

You're doing it right. That equation that you've ended up with is seperable and easy to integrate.