\[ \left (2 x y(x)^3-x^4\right ) y'(x)+2 x^3 y(x)-y(x)^4=0 \] ✓ Mathematica : cpu = 0.109868 (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 = 0.109 (sec), leaf count = 370
\[ \left \{ y \left ( x \right ) ={\frac {1}{6\,{\it \_C1}} \left ( \left ( -12\,x \left ( 9\,{\it \_C1}\,{x}^{2}-\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2} \right ) ^{{\frac {2}{3}}}+12\,{\it \_C1}\,x \right ) {\frac {1}{\sqrt [3]{-108\,x \left ( {\it \_C1}\,{x}^{2}-1/9\,\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}}},y \left ( x \right ) =-{\frac {1}{12\,{\it \_C1}} \left ( \left ( i \left ( -12\,x \left ( 9\,{\it \_C1}\,{x}^{2}-\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2} \right ) ^{{\frac {2}{3}}}-12\,ix{\it \_C1} \right ) \sqrt {3}+ \left ( -12\,x \left ( 9\,{\it \_C1}\,{x}^{2}-\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2} \right ) ^{{\frac {2}{3}}}+12\,{\it \_C1}\,x \right ) {\frac {1}{\sqrt [3]{-108\,x \left ( {\it \_C1}\,{x}^{2}-1/9\,\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}}},y \left ( x \right ) ={\frac {1}{12\,{\it \_C1}} \left ( i \left ( -12\,x \left ( 9\,{\it \_C1}\,{x}^{2}-\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2} \right ) ^{{\frac {2}{3}}}\sqrt {3}-12\,i\sqrt {3}{\it \_C1}\,x- \left ( -12\,x \left ( 9\,{\it \_C1}\,{x}^{2}-\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2} \right ) ^{{\frac {2}{3}}}-12\,{\it \_C1}\,x \right ) {\frac {1}{\sqrt [3]{-108\,x \left ( {\it \_C1}\,{x}^{2}-1/9\,\sqrt {3}\sqrt {{\frac {27\,{{\it \_C1}}^{3}{x}^{4}-4\,x}{{\it \_C1}}}} \right ) {{\it \_C1}}^{2}}}}} \right \} \]