The differential equation of all the ellipses centred at the origin and have axes as the co-ordinate axes is
(A) \(y^{2}+x y^{\prime 2}-y y^{\prime}=0\)
(B) \(x y y^{\prime \prime}+x y^{\prime 2}-y y^{\prime}=0\)
(C) \(y y^{\prime \prime}+x y^{\prime 2}-x y^{\prime}=0\)
(D) \(x^{2} y^{\prime}+x y^{\prime \prime}-3 y=0\)
Where \(\mathrm{y}^{\prime} \equiv \frac{\mathrm{d} y}{\mathrm{~d} \mathrm{x}}, \mathrm{y}^{\prime \prime} \equiv \frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}\)