\[ \left (x^6+3 x y(x)^2\right ) y'(x)-2 x^5 y(x)+x^3 y'(x)^3-3 x^2 y(x) y'(x)^2-y(x)^3=0 \] ✓ Mathematica : cpu = 0.0358459 (sec), leaf count = 16
\[\left \{\left \{y(x)\to x \left (c_1 x+c_1{}^3\right )\right \}\right \}\] ✓ Maple : cpu = 4.172 (sec), leaf count = 250
\[\left \{y \left (x \right ) = x^{\frac {5}{2}} \RootOf \left (c_{1}+\int _{}^{\textit {\_Z}}\frac {18 \left (-\frac {4 \left (-9 \textit {\_a} +\sqrt {81 \textit {\_a}^{2}+12}\right )}{\left (27 \textit {\_a}^{2}+4\right ) \sqrt {81 \textit {\_a}^{2}+12}}\right )^{\frac {2}{3}} \textit {\_a}^{2}-18 \left (-\frac {4 \left (-9 \textit {\_a} +\sqrt {81 \textit {\_a}^{2}+12}\right )}{\left (27 \textit {\_a}^{2}+4\right ) \sqrt {81 \textit {\_a}^{2}+12}}\right )^{\frac {1}{3}} \textit {\_a}^{2}+\frac {8 \left (-\frac {4 \left (-9 \textit {\_a} +\sqrt {81 \textit {\_a}^{2}+12}\right )}{\left (27 \textit {\_a}^{2}+4\right ) \sqrt {81 \textit {\_a}^{2}+12}}\right )^{\frac {2}{3}}}{3}-\frac {8 \left (-\frac {4 \left (-9 \textit {\_a} +\sqrt {81 \textit {\_a}^{2}+12}\right )}{\left (27 \textit {\_a}^{2}+4\right ) \sqrt {81 \textit {\_a}^{2}+12}}\right )^{\frac {1}{3}}}{3}+\frac {8}{3}}{\left (-\frac {4 \left (-9 \textit {\_a} +\sqrt {81 \textit {\_a}^{2}+12}\right )}{\left (27 \textit {\_a}^{2}+4\right ) \sqrt {81 \textit {\_a}^{2}+12}}\right )^{\frac {1}{3}} \left (27 \textit {\_a}^{2}+4\right ) \textit {\_a}}d \textit {\_a} -\ln \left (x \right )\right ), y \left (x \right ) = -\frac {2 \sqrt {-3 x}\, x^{2}}{9}, y \left (x \right ) = \frac {2 \sqrt {-3 x}\, x^{2}}{9}\right \}\]