\[ \left (2 x y(x)^3-x^4\right ) y'(x)+2 x^3 y(x)-y(x)^4=0 \] ✓ Mathematica : cpu = 0.112184 (sec), leaf count = 368
\[\left \{\left \{y(x)\to \frac {\sqrt [3]{\frac {2}{3}} e^{c_1} x}{\sqrt [3]{\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}-9 x^3}}+\frac {\sqrt [3]{\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}-9 x^3}}{\sqrt [3]{2} 3^{2/3}}\right \},\left \{y(x)\to -\frac {\left (1+i \sqrt {3}\right ) e^{c_1} x}{2^{2/3} \sqrt [3]{3} \sqrt [3]{\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}-9 x^3}}-\frac {\left (1-i \sqrt {3}\right ) \sqrt [3]{\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}-9 x^3}}{2 \sqrt [3]{2} 3^{2/3}}\right \},\left \{y(x)\to -\frac {\left (1-i \sqrt {3}\right ) e^{c_1} x}{2^{2/3} \sqrt [3]{3} \sqrt [3]{\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}-9 x^3}}-\frac {\left (1+i \sqrt {3}\right ) \sqrt [3]{\sqrt {3} \sqrt {27 x^6-4 e^{3 c_1} x^3}-9 x^3}}{2 \sqrt [3]{2} 3^{2/3}}\right \}\right \}\]
✓ Maple : cpu = 0.09 (sec), leaf count = 447
\[ \left \{ y \left ( x \right ) ={\frac {\sqrt [3]{12}}{6\,{\it \_C1}}\sqrt [3]{x \left ( -9\,{x}^{2}{\it \_C1}+\sqrt {3}\sqrt {{\frac {x \left ( 27\,{x}^{3}{{\it \_C1}}^{3}-4 \right ) }{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}+{\frac {x{12}^{{\frac {2}{3}}}}{6}{\frac {1}{\sqrt [3]{x \left ( -9\,{x}^{2}{\it \_C1}+\sqrt {3}\sqrt {{\frac {x \left ( 27\,{x}^{3}{{\it \_C1}}^{3}-4 \right ) }{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}}},y \left ( x \right ) =-{\frac {\sqrt [3]{12}}{12\,{\it \_C1}}\sqrt [3]{x \left ( -9\,{x}^{2}{\it \_C1}+\sqrt {3}\sqrt {{\frac {x \left ( 27\,{x}^{3}{{\it \_C1}}^{3}-4 \right ) }{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}-{\frac {x{12}^{{\frac {2}{3}}}}{12}{\frac {1}{\sqrt [3]{x \left ( -9\,{x}^{2}{\it \_C1}+\sqrt {3}\sqrt {{\frac {x \left ( 27\,{x}^{3}{{\it \_C1}}^{3}-4 \right ) }{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}}}-{\frac {i}{2}}\sqrt {3} \left ( {\frac {\sqrt [3]{12}}{6\,{\it \_C1}}\sqrt [3]{x \left ( -9\,{x}^{2}{\it \_C1}+\sqrt {3}\sqrt {{\frac {x \left ( 27\,{x}^{3}{{\it \_C1}}^{3}-4 \right ) }{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}-{\frac {x{12}^{{\frac {2}{3}}}}{6}{\frac {1}{\sqrt [3]{x \left ( -9\,{x}^{2}{\it \_C1}+\sqrt {3}\sqrt {{\frac {x \left ( 27\,{x}^{3}{{\it \_C1}}^{3}-4 \right ) }{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}}} \right ) ,y \left ( x \right ) =-{\frac {\sqrt [3]{12}}{12\,{\it \_C1}}\sqrt [3]{x \left ( -9\,{x}^{2}{\it \_C1}+\sqrt {3}\sqrt {{\frac {x \left ( 27\,{x}^{3}{{\it \_C1}}^{3}-4 \right ) }{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}-{\frac {x{12}^{{\frac {2}{3}}}}{12}{\frac {1}{\sqrt [3]{x \left ( -9\,{x}^{2}{\it \_C1}+\sqrt {3}\sqrt {{\frac {x \left ( 27\,{x}^{3}{{\it \_C1}}^{3}-4 \right ) }{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}}}+{\frac {i}{2}}\sqrt {3} \left ( {\frac {\sqrt [3]{12}}{6\,{\it \_C1}}\sqrt [3]{x \left ( -9\,{x}^{2}{\it \_C1}+\sqrt {3}\sqrt {{\frac {x \left ( 27\,{x}^{3}{{\it \_C1}}^{3}-4 \right ) }{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}-{\frac {x{12}^{{\frac {2}{3}}}}{6}{\frac {1}{\sqrt [3]{x \left ( -9\,{x}^{2}{\it \_C1}+\sqrt {3}\sqrt {{\frac {x \left ( 27\,{x}^{3}{{\it \_C1}}^{3}-4 \right ) }{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}}} \right ) \right \} \]