The differential equation of the family of curves $y^2=4a(x+a)$ is

Question

:

$$(A)\;y^2=4\frac{dy}{dx}\bigg(x+\frac{dy}{dx}\bigg) \quad (B)\;2y\frac{dy}{dx}+4a \quad(C)y\frac{d^2y}{dx^2}\;\bigg(\frac{dy}{dx}\bigg)^2=0 \quad (D)\;2x\frac{dy}{dx}+y\bigg(\frac{dy}{dx}\bigg)^2-y$$