\[ -x^{3/2} y(x)^{5/2}+\left (2 x^{5/2} y(x)^{3/2}+x^2 y(x)-x\right ) y'(x)+x y(x)^2-y(x)=0 \] ✓ Mathematica : cpu = 0.277622 (sec), leaf count = 53
\[\text {Solve}\left [\frac {\sqrt {x y(x)} \left (-3 x^{3/2} y(x)^{3/2} (\log (x)-2 \log (y(x)))-6 x y(x)+2\right )}{3 x^2 y(x)^2}=c_1,y(x)\right ]\]
✓ Maple : cpu = 0.185 (sec), leaf count = 32
\[ \left \{ \ln \left ( y \left ( x \right ) \right ) +{\frac {1}{3}{x}^{-{\frac {3}{2}}} \left ( y \left ( x \right ) \right ) ^{-{\frac {3}{2}}}}-{1{\frac {1}{\sqrt {x}}}{\frac {1}{\sqrt {y \left ( x \right ) }}}}-{\frac {\ln \left ( x \right ) }{2}}-{\it \_C1}=0 \right \} \]