So, when you say g'(x,y) does that mean it's the derivative dg/dx and not the partial derivative?
And why when you take the partial derivative of the integrating factor µ in both cases:
∂u / ∂x = y * ∂g / ∂x
and
∂u / ∂y = x * ∂g / ∂y
Do you get the partial derivatives of g with...
I was looking at how to derive an integrating factor for a non-exact DE that has multiple variable dependency, i.e. µ is xy-dependent, and I found the explanation at the link in the middle of the page at equation (22) (link...