\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( y \left ( x \right ) \right ) ^{3/2} \left ( x-y \left ( x \right ) +\sqrt {y \left ( x \right ) } \right ) }{ \left ( y \left ( x \right ) \right ) ^{3/2}x- \left ( y \left ( x \right ) \right ) ^{5/2}+ \left ( y \left ( x \right ) \right ) ^{2}+{x}^{3}-3\,{x}^{2}y \left ( x \right ) +3\,x \left ( y \left ( x \right ) \right ) ^{2}- \left ( y \left ( x \right ) \right ) ^{3}}}=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.140 (sec), leaf count = 120 \[ \left \{ 2\,{\frac { \left ( y \left ( x \right ) \right ) ^{3/2}}{ \left ( y \left ( x \right ) -x \right ) ^{3}}}+3\,{\frac {y \left ( x \right ) }{ \left ( y \left ( x \right ) -x \right ) ^{3}}}-6\,{\frac { \sqrt {y \left ( x \right ) }x}{ \left ( y \left ( x \right ) -x \right ) ^{ 3}}}-6\,{\frac {x}{ \left ( y \left ( x \right ) -x \right ) ^{3}}}+6\,{ \frac {{x}^{2}}{\sqrt {y \left ( x \right ) } \left ( y \left ( x \right ) -x \right ) ^{3}}}- \left ( y \left ( x \right ) -x \right ) ^{-3}+3\,{ \frac {{x}^{2}}{y \left ( x \right ) \left ( y \left ( x \right ) -x \right ) ^{3}}}-2\,{\frac {{x}^{3}}{ \left ( y \left ( x \right ) \right ) ^{3/2} \left ( y \left ( x \right ) -x \right ) ^{3}}}-{\it \_C1} =0 \right \} \]