\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{3}- \left ( \left ( y \left ( x \right ) \right ) ^{2}+xy \left ( x \right ) +{x}^{2} \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+ \left ( x \left ( y \left ( x \right ) \right ) ^{3}+{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}+{x}^{3}y \left ( x \right ) \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -{x}^{3} \left ( y \left ( x \right ) \right ) ^{3}=0} \]
Mathematica: cpu = 0.009501 (sec), leaf count = 45 \[ \left \{\left \{y(x)\to \frac {1}{-c_1-x}\right \},\left \{y(x)\to c_1 e^{\frac {x^2}{2}}\right \},\left \{y(x)\to c_1+\frac {x^3}{3}\right \}\right \} \]
Maple: cpu = 0.016 (sec), leaf count = 32 \[ \left \{ y \left ( x \right ) = \left ( -x+{\it \_C1} \right ) ^{-1},y \left ( x \right ) ={{\rm e}^{{\frac {{x}^{2}}{2}}}}{\it \_C1},y \left ( x \right ) ={\frac {{x}^{3}}{3}}+{\it \_C1} \right \} \]