Solving (x - y ln(y) + y ln(x))dx + x(ln(y) - ln(x))dy = 0

[squanto_sparta]

[SOLVED] Differential Equations problem

Homework Statement

(x - y ln(y) + y ln(x))dx + x(ln(y) - ln(x))dy = 0

Solving for general solution.

Homework Equations

N/A

The Attempt at a Solution

I have attempted for exactness, have attempted at separating the variables, checked if it was homogeneous, and thrown every method I know at this problem. I am usually excellent with DE, I am at a loss with this problem.

 

[squanto_sparta]

Nevermind, it's homogenous. After you factor out a -y from the first term it becomes more obvious.

Thanks anyway!