\[ y'(x)=\frac {\left (-y(x)+\sqrt {y(x)}+x\right ) y(x)^{3/2}}{x^3-3 x^2 y(x)+3 x y(x)^2+x y(x)^{3/2}-y(x)^3-y(x)^{5/2}+y(x)^2} \] ✗ Mathematica : cpu = 300.661 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.232 (sec), leaf count = 61
\[ \left \{ -{1 \left ( \left ( x-y \left ( x \right ) -\sqrt {y \left ( x \right ) } \right ) \sqrt {2\,y \left ( x \right ) -\sqrt {y \left ( x \right ) }-2\,x}+{\it \_C1}\, \left ( y \left ( x \right ) \right ) ^{{\frac {3}{4}}} \left ( y \left ( x \right ) -x \right ) ^{{\frac {3}{2}}} \right ) \left ( y \left ( x \right ) \right ) ^{-{\frac {3}{4}}} \left ( y \left ( x \right ) -x \right ) ^{-{\frac {3}{2}}}}=0 \right \} \]