A family of curves has the differential equation $xy \large\frac{dy}{dx}$$=2y^2-x^2$. Then the family of curves is :

Question

$$\begin {array} {1 1} (1)\;y^2=cx^2+x^3 & \quad (2)\;y^2=cx^4+x^3 \\ (3)\;y^2=x+cx^4 & \quad (4)\;y^2=x^2+cx^4 \end {array}$$