Find the solution of $(xy^2+2x^2y^3)dx+(x^2y-x^3y^2)dy=0$ Find the solution of $(xy^2+2x^2y^3)dx+(x^2y-x^3y^2)dy=0$
My attempt: it is of form
$yf_1(xy)dx + xf_2(xy)dy = 0$ 
Integrating factor = $\frac{1}{Mx-Ny}$
But it is getting complicated. Any easier methd???

Hint: You can look for an integrating factor of the form $x^my^n$. If you apply exactness condition you will get $m=n=-2$.
