\[ \boxed { \left ( 2\,{x}^{5/2} \left ( y \left ( x \right ) \right ) ^{3/2}+{x}^{2}y \left ( x \right ) -x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -{x}^{3/2} \left ( y \left ( x \right ) \right ) ^{5/2}+x \left ( y \left ( x \right ) \right ) ^{2}-y \left ( x \right ) =0} \]
Mathematica: cpu = 0.173022 (sec), leaf count = 72 \[ \text {Solve}\left [\frac {2 \sqrt {x y(x)} \log (y(x))}{\sqrt {x} \sqrt {y(x)}}-\frac {\sqrt {x y(x)} \left (3 x^{3/2} y(x)^{3/2} \log (x)+6 x y(x)-2\right )}{3 x^2 y(x)^2}=c_1,y(x)\right ] \]
Maple: cpu = 0.062 (sec), leaf count = 32 \[ \left \{ \ln \left ( y \left ( x \right ) \right ) -{1{\frac {1}{\sqrt { x}}}{\frac {1}{\sqrt {y \left ( x \right ) }}}}+{\frac {1}{3} \left ( y \left ( x \right ) \right ) ^{-{\frac {3}{2}}}{x}^{-{\frac {3}{2}}}}-{ \frac {\ln \left ( x \right ) }{2}}-{\it \_C1}=0 \right \} \]