Chapter 8.13, Problem 24MP

Identify each of the differential equations in Problems 1 to 24 as to type (for example, separable, linear first order, linear second order, etc.), and then solve it.

$x\left(y{y}^{\prime \prime }+y^{\prime 2}\right)=y{y}^{\prime }$ Hint: Let $u=y{y}^{\prime }$.