First order separable differential equations

$\frac{{d}^{2}y}{d{x}^{2}}+2\frac{dy}{xdx}=0$

Using change of variable equals to $Z=\frac{dy}{dx}$ what is the 1st order separable differential equation for Z as function of x?

and solve for y(x).

$\frac{{d}^{2}y}{d{x}^{2}}+2\frac{dy}{xdx}=0$

Using change of variable equals to $Z=\frac{dy}{dx}$ what is the 1st order separable differential equation for Z as function of x?

and solve for y(x).