\[ y'(x)=\frac {\left (-y(x)+\sqrt {y(x)}+x\right ) y(x)^{3/2}}{x^3-3 x^2 y(x)+3 x y(x)^2+x y(x)^{3/2}-y(x)^3-y(x)^{5/2}+y(x)^2} \] ✗ Mathematica : cpu = 3605.28 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.273 (sec), leaf count = 96
\[ \left \{ {1\sqrt {2\,y \left ( x \right ) -\sqrt {y \left ( x \right ) }-2\,x}\sqrt [4]{y \left ( x \right ) } \left ( y \left ( x \right ) -x \right ) ^{-{\frac {3}{2}}}}+{1\sqrt {2\,y \left ( x \right ) -\sqrt {y \left ( x \right ) }-2\,x} \left ( y \left ( x \right ) -x \right ) ^{-{\frac {3}{2}}}{\frac {1}{\sqrt [4]{y \left ( x \right ) }}}}-{x\sqrt {2\,y \left ( x \right ) -\sqrt {y \left ( x \right ) }-2\,x} \left ( y \left ( x \right ) -x \right ) ^{-{\frac {3}{2}}} \left ( y \left ( x \right ) \right ) ^{-{\frac {3}{4}}}}-{\it \_C1}=0 \right \} \]