\[ y'(x)=\frac {y(x)^2}{x^3-3 x^2 y(x)+x^2 \sqrt {y(x)}+3 x y(x)^2-2 x y(x)^{3/2}-y(x)^3+y(x)^{5/2}+y(x)^2+y(x)^{3/2}} \] ✗ Mathematica : cpu = 3599.94 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.167 (sec), leaf count = 47
\[ \left \{ {\frac {\ln \left ( y \left ( x \right ) \right ) }{2}}-\int ^{{x{\frac {1}{\sqrt {y \left ( x \right ) }}}}-\sqrt {y \left ( x \right ) }}\! \left ( 2\,{{\it \_a}}^{3}+2\,{{\it \_a}}^{2}-{\it \_a}+2 \right ) ^{-1}{d{\it \_a}}-{\it \_C1}=0 \right \} \]