Chapter 2.6, Problem 32P

Use the integrating factor $\mu (x,y)={\left[xy(2x+y)\right]}^{-1}$ to solve the differential equation $\left(3xy+y^2\right)+\left(x^2+xy\right)y\text{'}=0$.

Verify that the solution is the same as that obtained in example $4$ with a different integrating factor.