\[ \left (2 x y(x)^3-x^4\right ) y'(x)+2 x^3 y(x)-y(x)^4=0 \] ✓ Mathematica : cpu = 0.340547 (sec), leaf count = 368
\[\left \{\left \{y(x)\to \frac {\sqrt [3]{\frac {2}{3}} e^{c_1} x}{\sqrt [3]{-9 x^3+\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}}}+\frac {\sqrt [3]{-9 x^3+\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}}}{\sqrt [3]{2} 3^{2/3}}\right \},\left \{y(x)\to -\frac {\left (1+i \sqrt {3}\right ) e^{c_1} x}{2^{2/3} \sqrt [3]{3} \sqrt [3]{-9 x^3+\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}}}-\frac {\left (1-i \sqrt {3}\right ) \sqrt [3]{-9 x^3+\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}}}{2 \sqrt [3]{2} 3^{2/3}}\right \},\left \{y(x)\to -\frac {\left (1-i \sqrt {3}\right ) e^{c_1} x}{2^{2/3} \sqrt [3]{3} \sqrt [3]{-9 x^3+\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}}}-\frac {\left (1+i \sqrt {3}\right ) \sqrt [3]{-9 x^3+\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}}}{2 \sqrt [3]{2} 3^{2/3}}\right \}\right \}\] ✓ Maple : cpu = 0.074 (sec), leaf count = 370
\[\left \{y \left (x \right ) = -\frac {12 c_{1} x +\left (-12 i c_{1} x +i \left (-12 \left (9 c_{1} x^{2}-\sqrt {3}\, \sqrt {\frac {27 c_{1}^{3} x^{4}-4 x}{c_{1}}}\right ) c_{1}^{2} x \right )^{\frac {2}{3}}\right ) \sqrt {3}+\left (-12 \left (9 c_{1} x^{2}-\sqrt {3}\, \sqrt {\frac {27 c_{1}^{3} x^{4}-4 x}{c_{1}}}\right ) c_{1}^{2} x \right )^{\frac {2}{3}}}{12 \left (-108 \left (c_{1} x^{2}-\frac {\sqrt {3}\, \sqrt {\frac {27 c_{1}^{3} x^{4}-4 x}{c_{1}}}}{9}\right ) c_{1}^{2} x \right )^{\frac {1}{3}} c_{1}}, y \left (x \right ) = \frac {12 c_{1} x +\left (-12 \left (9 c_{1} x^{2}-\sqrt {3}\, \sqrt {\frac {27 c_{1}^{3} x^{4}-4 x}{c_{1}}}\right ) c_{1}^{2} x \right )^{\frac {2}{3}}}{6 \left (-108 \left (c_{1} x^{2}-\frac {\sqrt {3}\, \sqrt {\frac {27 c_{1}^{3} x^{4}-4 x}{c_{1}}}}{9}\right ) c_{1}^{2} x \right )^{\frac {1}{3}} c_{1}}, y \left (x \right ) = \frac {-12 i c_{1} \sqrt {3}\, x -12 c_{1} x +i \left (-12 \left (9 c_{1} x^{2}-\sqrt {3}\, \sqrt {\frac {27 c_{1}^{3} x^{4}-4 x}{c_{1}}}\right ) c_{1}^{2} x \right )^{\frac {2}{3}} \sqrt {3}-\left (-12 \left (9 c_{1} x^{2}-\sqrt {3}\, \sqrt {\frac {27 c_{1}^{3} x^{4}-4 x}{c_{1}}}\right ) c_{1}^{2} x \right )^{\frac {2}{3}}}{12 \left (-108 \left (c_{1} x^{2}-\frac {\sqrt {3}\, \sqrt {\frac {27 c_{1}^{3} x^{4}-4 x}{c_{1}}}}{9}\right ) c_{1}^{2} x \right )^{\frac {1}{3}} c_{1}}\right \}\]