\[ \left (2 x y(x)^3-x^4\right ) y'(x)+2 x^3 y(x)-y(x)^4=0 \] ✓ Mathematica : cpu = 0.11139 (sec), leaf count = 331
\[\left \{\left \{y(x)\to \frac {\sqrt [3]{2} \left (\sqrt {81 x^6-12 e^{3 c_1} x^3}-9 x^3\right ){}^{2/3}+2 \sqrt [3]{3} e^{c_1} x}{6^{2/3} \sqrt [3]{\sqrt {81 x^6-12 e^{3 c_1} x^3}-9 x^3}}\right \},\left \{y(x)\to \frac {i \sqrt [3]{2} \sqrt [6]{3} \left (\sqrt {3}+i\right ) \left (\sqrt {81 x^6-12 e^{3 c_1} x^3}-9 x^3\right ){}^{2/3}-2 \left (\sqrt {3}+3 i\right ) e^{c_1} x}{2\ 2^{2/3} 3^{5/6} \sqrt [3]{\sqrt {81 x^6-12 e^{3 c_1} x^3}-9 x^3}}\right \},\left \{y(x)\to \frac {\sqrt [3]{2} \sqrt [6]{3} \left (-1-i \sqrt {3}\right ) \left (\sqrt {81 x^6-12 e^{3 c_1} x^3}-9 x^3\right ){}^{2/3}-2 \left (\sqrt {3}-3 i\right ) e^{c_1} x}{2\ 2^{2/3} 3^{5/6} \sqrt [3]{\sqrt {81 x^6-12 e^{3 c_1} x^3}-9 x^3}}\right \}\right \}\]
✓ Maple : cpu = 0.106 (sec), leaf count = 376
\[ \left \{ y \left ( x \right ) ={\frac {\sqrt [3]{12}}{6\,{\it \_C1}} \left ( x\sqrt [3]{12}{\it \_C1}+ \left ( x \left ( -9\,{\it \_C1}\,{x}^{2}+\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2} \right ) ^{{\frac {2}{3}}} \right ) {\frac {1}{\sqrt [3]{x \left ( -9\,{\it \_C1}\,{x}^{2}+\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}}},y \left ( x \right ) =-{\frac {\sqrt [3]{12}}{12\,{\it \_C1}} \left ( i\sqrt {3}\sqrt [3]{12}{\it \_C1}\,x-i\sqrt {3} \left ( x \left ( -9\,{\it \_C1}\,{x}^{2}+\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2} \right ) ^{{\frac {2}{3}}}+x\sqrt [3]{12}{\it \_C1}+ \left ( x \left ( -9\,{\it \_C1}\,{x}^{2}+\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2} \right ) ^{{\frac {2}{3}}} \right ) {\frac {1}{\sqrt [3]{x \left ( -9\,{\it \_C1}\,{x}^{2}+\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}}},y \left ( x \right ) =-{\frac {\sqrt [3]{12}}{12\,{\it \_C1}} \left ( \left ( -ix{\it \_C1}\,\sqrt [3]{12}+i \left ( x \left ( -9\,{\it \_C1}\,{x}^{2}+\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2} \right ) ^{{\frac {2}{3}}} \right ) \sqrt {3}+x\sqrt [3]{12}{\it \_C1}+ \left ( x \left ( -9\,{\it \_C1}\,{x}^{2}+\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2} \right ) ^{{\frac {2}{3}}} \right ) {\frac {1}{\sqrt [3]{x \left ( -9\,{\it \_C1}\,{x}^{2}+\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}}} \right \} \]