Reduce the differential equation below to an exact equation

Question

(X - 2siny + 3)dx -(4siny - 2x + 3)dy=0. The problem here is how to solve for the integrating factor...any help pls?

Answer 1

that siny in both factors is bad news. I'd expect one of them to have cosy. Sure there's no typo?

Also the lone x is not good. There ought to be an x^2 in the dy factor.

Also, the form is usually

M dx + N dy = 0
not M dx - N dy = 0

This whole one is weird.