The following differential equations have a common integrating factor.
I have to find this integrating factor.
I have arrived to the solution of this problem assuming that the integrating factor I was trying to find was of the form $x^ny^m$, and in this way, I have found that the common integrating factor is $x^2y^3$.
However, I was wondering if there might be a more direct way to find this integrating factor, without having to suppose that is has the form $x^ny^m$. Any ideas?