If $c$ is a parameter, then the differential equation whose solution is $y = c^2 + \frac{c}{x'}$ is :

Question

( A ) $y = ( \frac{dy}{dx})^2 - x \frac{dy}{dx}$
( B ) $y = x^4 ( \frac{dy}{dx})^2 - x \frac{dy}{dx}$
( C ) $y = ( \frac{dy}{dx})^2 - \frac{d^2y}{dx^2}$
( D ) $y = x \frac{dy}{dx} - 2x^2 \frac{d^2y}{dx^2}$