Given (-2ysinx+2xy^3-e^xy^2)dx+(4cosx+4x^2y^2-3e^xy)dy=0, y(0)=2
>What I did so far was simple enough. The equation is not homogenous, non-seperable and not exact. So logic dictates I should use an integrating factor 'u'. Since our class is a 2nd year ODE course, we use a special case where the factor u is a single variable function of x or y.
I need to solve for u(y) in this case. No idea what to do. Any help greatly appreciated