Differential equations

Question

Find the integrating factor and solve the given differential equation :

(x²y² + xy + 1) dx + (x²y² - xy + 1) dy=0

Answer 1

Are you sure that the problem isn't y()dx + x()dy = 0 instead or ()dx + ()dy = 0? The first problem is reasonably involved with a u = xy substitution. Good luck!