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