Converting dy/dx=(y²+x√(x²+y²))/xy to homogeneous form

[rbailey5]

1. Homework Statement [/b

so I am given a known homogeneous differential equation dy/dx=(y^2+x*sqrt(x^2+y^2))/xy

Homework Equations

now I know that you have to separate into some form of y/x which then you can change into v and solve the differential equation but I am having trouble

The Attempt at a Solution

I just can't figure out how to get it in the appropriate form in order to simplify

 

[LCKurtz]

Let y = ux, y' = u'x + u. Work it out and show us what happens.