Solving ODE Problem: Tips and Techniques for Postgrad Students

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Hi All,

I am a postgrad student looking for help in solving this ODE.


Homework Statement



\frac{dy}{dx}=\frac{y^{2}+xy^{2}}{x^{2}y-x}


Homework Equations





The Attempt at a Solution


I have been attempting to solve this by substitution but without success, any help would be appreciated.

 
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It looks separable.
 
The furthest I can get is

x(xy-1)dy=(x+1)y^{2}dx

but do not know where to go from here?
 

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