\[ y'(x)=\frac {x^3+x y(x)^2+x y(x)+y(x)^3}{x^2} \] ✓ Mathematica : cpu = 0.0347119 (sec), leaf count = 47
\[\text {Solve}\left [c_1+x=\text {RootSum}\left [\text {$\#$1}^3+\text {$\#$1}^2+1\& ,\frac {\log \left (\frac {y(x)}{x}-\text {$\#$1}\right )}{3 \text {$\#$1}^2+2 \text {$\#$1}}\& \right ],y(x)\right ]\]
✓ Maple : cpu = 0.027 (sec), leaf count = 26
\[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( -\int ^{{\it \_Z}}\! \left ( {{\it \_a}}^{3}+{{\it \_a}}^{2}+1 \right ) ^{-1}{d{\it \_a}}+x+{\it \_C1} \right ) x \right \} \]