Differential Equations, Homogeneous equations

[beccajd]

Homework Statement

Use the method for Homogeneous Equations to slove

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

Homework Equations

The Attempt at a Solution

I attempted to get dx/dy on one side and substitute but could not get farther than this

dx/dy = x^2/(xy + y^2)

 

[LCKurtz]

Homework Statement

Use the method for Homogeneous Equations to slove

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

Homework Equations

The Attempt at a Solution

I attempted to get dx/dy on one side and substitute but could not get farther than this

dx/dy = x^2/(xy + y^2)

Try $y=ux,\ dy = udx + xdu$ to get a separable equation.