\[ y'(x)=\frac {\left (-y(x)+\sqrt {y(x)}+x\right ) y(x)^{3/2}}{x^3-3 x^2 y(x)+3 x y(x)^2+x y(x)^{3/2}-y(x)^3-y(x)^{5/2}+y(x)^2} \] ✗ Mathematica : cpu = 300.386 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.316 (sec), leaf count = 82
\[ \left \{ -{\frac {1}{ \left ( x-y \left ( x \right ) \right ) ^{3}} \left ( \left ( {\it \_C1}\,{x}^{3}-6\,x-1 \right ) \left ( y \left ( x \right ) \right ) ^{{\frac {5}{2}}}+ \left ( -3\,{x}^{2}{\it \_C1}+3 \right ) \left ( y \left ( x \right ) \right ) ^{{\frac {7}{2}}}- \left ( y \left ( x \right ) \right ) ^{{\frac {11}{2}}}{\it \_C1}+3\, \left ( y \left ( x \right ) \right ) ^{3/2}{x}^{2}+3\, \left ( y \left ( x \right ) \right ) ^{9/2}{\it \_C1}\,x-2\,y \left ( x \right ) \left ( x-y \left ( x \right ) \right ) ^{3} \right ) \left ( y \left ( x \right ) \right ) ^{-{\frac {5}{2}}}}=0 \right \} \]