\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac { \left( -108\,{x}^{3/2}y \left( x \right) +18\,{x}^{9/2}-108\,{x}^{3/2}-216\, \left( y \left( x \right)  \right) ^{3}+108\,{x}^{3} \left( y \left( x \right)  \right) ^{2}-18\,y \left( x \right) {x}^{6}+{x}^{9} \right) \sqrt {x}}{-216\,y \left( x \right) +36\,{x}^{3}-216}}=0}
\]