\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) =-{\frac { \left( -108\,{x}^{3/2}-216-216\, \left( y \left( x \right)  \right) ^{2}+72\,{x}^{3}y \left( x \right) -6\,{x}^{6}-216\, \left( y \left( x \right)  \right) ^{3}+108\,{x}^{3} \left( y \left( x \right)  \right) ^{2}-18\,y \left( x \right) {x}^{6}+{x}^{9} \right) \sqrt {x}}{216}}=0}
\]