Ok so I really do think that this one is a separable equation but if not maybe someone could let me know that too haha

I need to separate this equation to have the dy and y's on one side and and the dx and x's on the other so I can integrate and solve the problem.

[(y*e^(xy))-(1/y)]dx + [(x*e^(y))+(x/(y^2))]dy=0

I have no idea how to separate the equation!

Any hints or first steps would be nice!!! THANK YOU!!!!