\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {{x}^{2}}{y \left ( x \right ) +{x}^{3/2}}}=0} \]
Mathematica: cpu = 0.176522 (sec), leaf count = 77 \[ \text {Solve}\left [44 c_1+6 \sqrt {33} \tanh ^{-1}\left (\frac {7 x^{3/2}+3 y(x)}{\sqrt {33} \left (x^{3/2}+y(x)\right )}\right )=33 \left (\log \left (-\frac {3 y(x)}{2 x^{3/2}}-\frac {3 y(x)^2}{2 x^3}+1\right )+3 \log (x)\right ),y(x)\right ] \]
Maple: cpu = 0.172 (sec), leaf count = 51 \[ \left \{ \ln \left ( 3\,{x}^{3/2}y \left ( x \right ) -2\,{x}^{3}+3\, \left ( y \left ( x \right ) \right ) ^{2} \right ) -{\frac {2\,\sqrt {33 }}{11}{\it Artanh} \left ( {\frac {\sqrt {33}}{33} \left ( 3\,{x}^{3/2}+ 6\,y \left ( x \right ) \right ) {x}^{-{\frac {3}{2}}}} \right ) }-{\it \_C1}=0 \right \} \]