\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac { \left( y \left( x \right)  \right) ^{2}}{ \left( y \left( x \right)  \right) ^{2}+ \left( y \left( x \right)  \right) ^{3/2}+\sqrt {y \left( x \right) }{x}^{2}-2\, \left( y \left( x \right)  \right) ^{3/2}x+ \left( y \left( x \right)  \right) ^{5/2}+{x}^{3}-3\,{x}^{2}y \left( x \right) +3\,x \left( y \left( x \right)  \right) ^{2}- \left( y \left( x \right)  \right) ^{3}}}=0}
\]