\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) =1/2\,{x}^{2}+\sqrt {{x}^{3}-6\,y \left( x \right) }+{x}^{2}\sqrt {{x}^{3}-6\,y \left( x \right) }+{x}^{3}\sqrt {{x}^{3}-6\,y \left( x \right) }=0}
\]