\[ \left (2 x^3 y(x)^3-x\right ) y'(x)+2 x^3 y(x)^3-y(x)=0 \] ✓ Mathematica : cpu = 0.0360827 (sec), leaf count = 723
\[\left \{\left \{y(x)\to -\frac {2 x^3-c_1 x^2}{6 x^2}+\frac {\sqrt [3]{12 c_1 x^8-6 c_1^2 x^7+c_1^3 x^6+3 \sqrt {3} \sqrt {-24 c_1 x^{12}+12 c_1^2 x^{11}-2 c_1^3 x^{10}+16 x^{13}+27 x^8}-8 x^9-27 x^4}}{6 x^2}+\frac {\left (2 x^3-c_1 x^2\right ){}^2}{6 x^2 \sqrt [3]{12 c_1 x^8-6 c_1^2 x^7+c_1^3 x^6+3 \sqrt {3} \sqrt {-24 c_1 x^{12}+12 c_1^2 x^{11}-2 c_1^3 x^{10}+16 x^{13}+27 x^8}-8 x^9-27 x^4}}\right \},\left \{y(x)\to -\frac {2 x^3-c_1 x^2}{6 x^2}-\frac {\left (1-i \sqrt {3}\right ) \sqrt [3]{12 c_1 x^8-6 c_1^2 x^7+c_1^3 x^6+3 \sqrt {3} \sqrt {-24 c_1 x^{12}+12 c_1^2 x^{11}-2 c_1^3 x^{10}+16 x^{13}+27 x^8}-8 x^9-27 x^4}}{12 x^2}-\frac {\left (1+i \sqrt {3}\right ) \left (2 x^3-c_1 x^2\right ){}^2}{12 x^2 \sqrt [3]{12 c_1 x^8-6 c_1^2 x^7+c_1^3 x^6+3 \sqrt {3} \sqrt {-24 c_1 x^{12}+12 c_1^2 x^{11}-2 c_1^3 x^{10}+16 x^{13}+27 x^8}-8 x^9-27 x^4}}\right \},\left \{y(x)\to -\frac {2 x^3-c_1 x^2}{6 x^2}-\frac {\left (1+i \sqrt {3}\right ) \sqrt [3]{12 c_1 x^8-6 c_1^2 x^7+c_1^3 x^6+3 \sqrt {3} \sqrt {-24 c_1 x^{12}+12 c_1^2 x^{11}-2 c_1^3 x^{10}+16 x^{13}+27 x^8}-8 x^9-27 x^4}}{12 x^2}-\frac {\left (1-i \sqrt {3}\right ) \left (2 x^3-c_1 x^2\right ){}^2}{12 x^2 \sqrt [3]{12 c_1 x^8-6 c_1^2 x^7+c_1^3 x^6+3 \sqrt {3} \sqrt {-24 c_1 x^{12}+12 c_1^2 x^{11}-2 c_1^3 x^{10}+16 x^{13}+27 x^8}-8 x^9-27 x^4}}\right \}\right \}\]
✓ Maple : cpu = 0.142 (sec), leaf count = 770
\[ \left \{ y \left ( x \right ) ={\frac {1}{6\,x}\sqrt [3]{ \left ( {{\it \_C1}}^{3}{x}^{2}-6\,{{\it \_C1}}^{2}{x}^{3}+12\,{\it \_C1}\,{x}^{4}-8\,{x}^{5}+3\,\sqrt {-6\,{{\it \_C1}}^{3}{x}^{2}+36\,{{\it \_C1}}^{2}{x}^{3}-72\,{\it \_C1}\,{x}^{4}+48\,{x}^{5}+81}-27 \right ) x}}+{\frac { \left ( {\it \_C1}-2\,x \right ) ^{2}x}{6}{\frac {1}{\sqrt [3]{ \left ( {{\it \_C1}}^{3}{x}^{2}-6\,{{\it \_C1}}^{2}{x}^{3}+12\,{\it \_C1}\,{x}^{4}-8\,{x}^{5}+3\,\sqrt {-6\,{{\it \_C1}}^{3}{x}^{2}+36\,{{\it \_C1}}^{2}{x}^{3}-72\,{\it \_C1}\,{x}^{4}+48\,{x}^{5}+81}-27 \right ) x}}}}+{\frac {{\it \_C1}}{6}}-{\frac {x}{3}},y \left ( x \right ) =-{\frac {1}{12\,x}\sqrt [3]{ \left ( {{\it \_C1}}^{3}{x}^{2}-6\,{{\it \_C1}}^{2}{x}^{3}+12\,{\it \_C1}\,{x}^{4}-8\,{x}^{5}+3\,\sqrt {-6\,{{\it \_C1}}^{3}{x}^{2}+36\,{{\it \_C1}}^{2}{x}^{3}-72\,{\it \_C1}\,{x}^{4}+48\,{x}^{5}+81}-27 \right ) x}}-{\frac { \left ( {\it \_C1}-2\,x \right ) ^{2}x}{12}{\frac {1}{\sqrt [3]{ \left ( {{\it \_C1}}^{3}{x}^{2}-6\,{{\it \_C1}}^{2}{x}^{3}+12\,{\it \_C1}\,{x}^{4}-8\,{x}^{5}+3\,\sqrt {-6\,{{\it \_C1}}^{3}{x}^{2}+36\,{{\it \_C1}}^{2}{x}^{3}-72\,{\it \_C1}\,{x}^{4}+48\,{x}^{5}+81}-27 \right ) x}}}}+{\frac {{\it \_C1}}{6}}-{\frac {x}{3}}-{\frac {i}{2}}\sqrt {3} \left ( {\frac {1}{6\,x}\sqrt [3]{ \left ( {{\it \_C1}}^{3}{x}^{2}-6\,{{\it \_C1}}^{2}{x}^{3}+12\,{\it \_C1}\,{x}^{4}-8\,{x}^{5}+3\,\sqrt {-6\,{{\it \_C1}}^{3}{x}^{2}+36\,{{\it \_C1}}^{2}{x}^{3}-72\,{\it \_C1}\,{x}^{4}+48\,{x}^{5}+81}-27 \right ) x}}-{\frac { \left ( {\it \_C1}-2\,x \right ) ^{2}x}{6}{\frac {1}{\sqrt [3]{ \left ( {{\it \_C1}}^{3}{x}^{2}-6\,{{\it \_C1}}^{2}{x}^{3}+12\,{\it \_C1}\,{x}^{4}-8\,{x}^{5}+3\,\sqrt {-6\,{{\it \_C1}}^{3}{x}^{2}+36\,{{\it \_C1}}^{2}{x}^{3}-72\,{\it \_C1}\,{x}^{4}+48\,{x}^{5}+81}-27 \right ) x}}}} \right ) ,y \left ( x \right ) =-{\frac {1}{12\,x}\sqrt [3]{ \left ( {{\it \_C1}}^{3}{x}^{2}-6\,{{\it \_C1}}^{2}{x}^{3}+12\,{\it \_C1}\,{x}^{4}-8\,{x}^{5}+3\,\sqrt {-6\,{{\it \_C1}}^{3}{x}^{2}+36\,{{\it \_C1}}^{2}{x}^{3}-72\,{\it \_C1}\,{x}^{4}+48\,{x}^{5}+81}-27 \right ) x}}-{\frac { \left ( {\it \_C1}-2\,x \right ) ^{2}x}{12}{\frac {1}{\sqrt [3]{ \left ( {{\it \_C1}}^{3}{x}^{2}-6\,{{\it \_C1}}^{2}{x}^{3}+12\,{\it \_C1}\,{x}^{4}-8\,{x}^{5}+3\,\sqrt {-6\,{{\it \_C1}}^{3}{x}^{2}+36\,{{\it \_C1}}^{2}{x}^{3}-72\,{\it \_C1}\,{x}^{4}+48\,{x}^{5}+81}-27 \right ) x}}}}+{\frac {{\it \_C1}}{6}}-{\frac {x}{3}}+{\frac {i}{2}}\sqrt {3} \left ( {\frac {1}{6\,x}\sqrt [3]{ \left ( {{\it \_C1}}^{3}{x}^{2}-6\,{{\it \_C1}}^{2}{x}^{3}+12\,{\it \_C1}\,{x}^{4}-8\,{x}^{5}+3\,\sqrt {-6\,{{\it \_C1}}^{3}{x}^{2}+36\,{{\it \_C1}}^{2}{x}^{3}-72\,{\it \_C1}\,{x}^{4}+48\,{x}^{5}+81}-27 \right ) x}}-{\frac { \left ( {\it \_C1}-2\,x \right ) ^{2}x}{6}{\frac {1}{\sqrt [3]{ \left ( {{\it \_C1}}^{3}{x}^{2}-6\,{{\it \_C1}}^{2}{x}^{3}+12\,{\it \_C1}\,{x}^{4}-8\,{x}^{5}+3\,\sqrt {-6\,{{\it \_C1}}^{3}{x}^{2}+36\,{{\it \_C1}}^{2}{x}^{3}-72\,{\it \_C1}\,{x}^{4}+48\,{x}^{5}+81}-27 \right ) x}}}} \right ) \right \} \]