Chapter 2.6, Problem 22P

Integrating Factor. In each of Problem $19$ through $22$:

Show that the given equation is not exact but becomesexact when multiplied by the given integrating factor.

Solve the equation.

Use a computer to draw several integral curves.

$\left(x+2\right)\sin y+\left(x\cos y\right)y\text{'}=0,\mu (x,y)=x{e}^x$.