Chapter 9, Problem 14RE

In Problems 11–16, determine whether the differential equation can be written in the separation of variables form $f\left(y\right)y^{\prime }=g\left(x\right)$, the first-order linear form $y^{\prime }+f\left(x\right)y=g\left(x\right)$, both forms, or neither form.

14.     $y^2{y}^{\prime }=4x{e}^{x-y}$