The differential equation $x \frac{d y}{d x}-y=x^2$ has the general solution:

$y-x^3=2 c x$, where c is a constant. $2 y-x^3=c x$, where c is a constant. $y=x^2+c x$, where c is a constant. $y=-x^2-c x$, where c is a constant.

$y=x^2+c x$, where c is a constant.

The correct answer is Option (3) → $y=x^2+c x$, where c is a constant.