\[ \boxed { {x}^{3} \left ( {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +y \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( y \left ( x \right ) \right ) ^{3} \right ) +12\,xy \left ( x \right ) +24=0} \]
Mathematica: cpu = 22.595369 (sec), leaf count = 35 \[ \text {DSolve}\left [x^3 \left (y''(x)+y(x) y'(x)-y(x)^3\right )+12 x y(x)+24=0,y(x),x\right ] \]
Maple: cpu = 1.186 (sec), leaf count = 102 \[ \left \{ y \left ( x \right ) ={\it ODESolStruc} \left ( {\it \_a}\,{ {\rm e}^{\int \!{\it \_b} \left ( {\it \_a} \right ) \,{\rm d}{\it \_a}+ {\it \_C1}}},[ \left \{ {\frac {\rm d}{{\rm d}{\it \_a}}}{\it \_b} \left ( {\it \_a} \right ) = \left ( -{{\it \_a}}^{3}-{{\it \_a}}^{2}+14 \,{\it \_a}+24 \right ) \left ( {\it \_b} \left ( {\it \_a} \right ) \right ) ^{3}+ \left ( -{\it \_a}+3 \right ) \left ( {\it \_b} \left ( { \it \_a} \right ) \right ) ^{2} \right \} , \left \{ {\it \_a}=xy \left ( x \right ) ,{\it \_b} \left ( {\it \_a} \right ) =-{\frac {1}{x \left ( x{ \frac {\rm d}{{\rm d}x}}y \left ( x \right ) +y \left ( x \right ) \right ) }} \right \} , \left \{ x= \left ( {{\rm e}^{\int \!{\it \_b} \left ( {\it \_a} \right ) \,{\rm d}{\it \_a}+{\it \_C1}}} \right ) ^{-1 },y \left ( x \right ) ={\it \_a}\,{{\rm e}^{\int \!{\it \_b} \left ( { \it \_a} \right ) \,{\rm d}{\it \_a}+{\it \_C1}}} \right \} ] \right ) \right \} \]