\[ \left (x^6+3 x y(x)^2\right ) y'(x)-2 x^5 y(x)+x^3 y'(x)^3-3 x^2 y(x) y'(x)^2-y(x)^3=0 \] ✗ Mathematica : cpu = 300.001 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 598.448 (sec), leaf count = 209
\[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( -\ln \left ( x \right ) +\int ^{{\it \_Z}}\!-{\frac {1}{6\,{\it \_a}} \left ( 3\,\sqrt {81\,{{\it \_a}}^{2}+12}{\it \_a}\,{4}^{2/3} \left ( {\frac {3\,\sqrt {81\,{{\it \_a}}^{2}+12}{\it \_a}-27\,{{\it \_a}}^{2}-4}{ \left ( 27\,{{\it \_a}}^{2}+4 \right ) ^{2}}} \right ) ^{2/3}+27\,{{\it \_a}}^{2}{4}^{2/3} \left ( {\frac {3\,\sqrt {81\,{{\it \_a}}^{2}+12}{\it \_a}-27\,{{\it \_a}}^{2}-4}{ \left ( 27\,{{\it \_a}}^{2}+4 \right ) ^{2}}} \right ) ^{2/3}+4\,{4}^{2/3} \left ( {\frac {3\,\sqrt {81\,{{\it \_a}}^{2}+12}{\it \_a}-27\,{{\it \_a}}^{2}-4}{ \left ( 27\,{{\it \_a}}^{2}+4 \right ) ^{2}}} \right ) ^{2/3}-4\,\sqrt [3]{4}\sqrt [3]{{\frac {3\,\sqrt {81\,{{\it \_a}}^{2}+12}{\it \_a}-27\,{{\it \_a}}^{2}-4}{ \left ( 27\,{{\it \_a}}^{2}+4 \right ) ^{2}}}}+4 \right ) }{d{\it \_a}}+{\it \_C1} \right ) {x}^{{\frac {5}{2}}},y \left ( x \right ) =-{\frac {2\,{x}^{2}}{9}\sqrt {-3\,x}},y \left ( x \right ) ={\frac {2\,{x}^{2}}{9}\sqrt {-3\,x}} \right \} \]