\[ 2 \left (x y'(x)+y(x)\right )^3-y(x) y'(x)=0 \] ✗ Mathematica : cpu = 299.999 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 1.496 (sec), leaf count = 1532
\[ \left \{ \int _{{\it \_b}}^{x}\!{1 \left ( -{6}^{{\frac {2}{3}}} \left ( -9\,y \left ( x \right ) \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\, \left ( y \left ( x \right ) \right ) ^{2}-2\,y \left ( x \right ) }{{\it \_a}}}}+y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}+6\,{\it \_a}\,y \left ( x \right ) \left ( \sqrt [3]{6}\sqrt [3]{-9\,y \left ( x \right ) \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\, \left ( y \left ( x \right ) \right ) ^{2}-2\,y \left ( x \right ) }{{\it \_a}}}}+y \left ( x \right ) \right ) {{\it \_a}}^{2}}-1 \right ) \right ) \left ( 6\,{{\it \_a}}^{2}y \left ( x \right ) +{\it \_a}\,{6}^{{\frac {2}{3}}} \left ( -9\,y \left ( x \right ) \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\, \left ( y \left ( x \right ) \right ) ^{2}-2\,y \left ( x \right ) }{{\it \_a}}}}+y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}} \right ) ^{-1}}\,{\rm d}{\it \_a}+\int ^{y \left ( x \right ) }\!6\,{x\sqrt [3]{6}\sqrt [3]{-9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{{\it \_f}}^{2}x-2\,{\it \_f}}{x}}}+{\it \_f} \right ) {x}^{2}{\it \_f}} \left ( {6}^{2/3} \left ( -9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{{\it \_f}}^{2}x-2\,{\it \_f}}{x}}}+{\it \_f} \right ) {x}^{2}{\it \_f} \right ) ^{2/3}+6\,x{\it \_f} \right ) ^{-1}}-\int _{{\it \_b}}^{x}\!324\,{{\it \_a}\,{\it \_f}\,\sqrt [3]{6} \left ( {{\it \_a}\,{\it \_f} \left ( {{\it \_f}\,\sqrt {3} \left ( {\it \_a}\,{\it \_f}-1/27 \right ) {\frac {1}{\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}}}}-2/3\,{\it \_a}\, \left ( -1/18\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) \right ) \left ( -9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) {{\it \_a}}^{2}{\it \_f} \right ) ^{-2/3}}-1/6\,{6}^{2/3} \left ( {{\it \_f}\,\sqrt {3} \left ( {\it \_a}\,{\it \_f}-1/27 \right ) {\frac {1}{\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}}}}+1/3\, \left ( -2/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) {\it \_a} \right ) \right ) \left ( {6}^{2/3} \left ( -9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) {{\it \_a}}^{2}{\it \_f} \right ) ^{2/3}+6\,{\it \_a}\,{\it \_f} \right ) ^{-2}}\,{\rm d}{\it \_a}{d{\it \_f}}+{\it \_C1}=0,\int _{{\it \_b}}^{x}\!{\frac {1}{6\,{\it \_a}} \left ( \left ( i\sqrt {3}-1 \right ) {6}^{{\frac {2}{3}}} \left ( -9\,y \left ( x \right ) \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\, \left ( y \left ( x \right ) \right ) ^{2}-2\,y \left ( x \right ) }{{\it \_a}}}}+y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\, \left ( i\sqrt {3}+2\,\sqrt [3]{6}\sqrt [3]{-9\,y \left ( x \right ) \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\, \left ( y \left ( x \right ) \right ) ^{2}-2\,y \left ( x \right ) }{{\it \_a}}}}+y \left ( x \right ) \right ) {{\it \_a}}^{2}}+1 \right ) y \left ( x \right ) {\it \_a} \right ) \left ( -{\frac { \left ( i\sqrt {3}-1 \right ) {6}^{{\frac {2}{3}}}}{6} \left ( -9\,y \left ( x \right ) \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\, \left ( y \left ( x \right ) \right ) ^{2}-2\,y \left ( x \right ) }{{\it \_a}}}}+y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}}+y \left ( x \right ) \left ( i\sqrt {3}+1 \right ) {\it \_a} \right ) ^{-1}}\,{\rm d}{\it \_a}+\int ^{y \left ( x \right ) }\!12\,{x\sqrt [3]{6}\sqrt [3]{-9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{{\it \_f}}^{2}x-2\,{\it \_f}}{x}}}+{\it \_f} \right ) {x}^{2}{\it \_f}} \left ( i\sqrt {3}{6}^{2/3} \left ( -9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{{\it \_f}}^{2}x-2\,{\it \_f}}{x}}}+{\it \_f} \right ) {x}^{2}{\it \_f} \right ) ^{2/3}-6\,i\sqrt {3}x{\it \_f}-{6}^{2/3} \left ( -9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{{\it \_f}}^{2}x-2\,{\it \_f}}{x}}}+{\it \_f} \right ) {x}^{2}{\it \_f} \right ) ^{2/3}-6\,x{\it \_f} \right ) ^{-1}}-\int _{{\it \_b}}^{x}\!-18\,{{\it \_a}\,{\it \_f}\,\sqrt [3]{6} \left ( { \left ( i\sqrt {3}+1 \right ) {\it \_a}\,{\it \_f} \left ( {{\it \_f}\,\sqrt {3} \left ( {\it \_a}\,{\it \_f}-1/27 \right ) {\frac {1}{\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}}}}-2/3\,{\it \_a}\, \left ( -1/18\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) \right ) \left ( -9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) {{\it \_a}}^{2}{\it \_f} \right ) ^{-2/3}}+1/6\, \left ( i\sqrt {3}-1 \right ) {6}^{2/3} \left ( {{\it \_f}\,\sqrt {3} \left ( {\it \_a}\,{\it \_f}-1/27 \right ) {\frac {1}{\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}}}}+1/3\, \left ( -2/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) {\it \_a} \right ) \right ) \left ( -1/6\, \left ( i\sqrt {3}-1 \right ) {6}^{2/3} \left ( -9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) {{\it \_a}}^{2}{\it \_f} \right ) ^{2/3}+ \left ( i\sqrt {3}+1 \right ) {\it \_a}\,{\it \_f} \right ) ^{-2}}\,{\rm d}{\it \_a}{d{\it \_f}}+{\it \_C1}=0,\int _{{\it \_b}}^{x}\!{\frac {1}{6\,{\it \_a}} \left ( \left ( i\sqrt {3}+1 \right ) {6}^{{\frac {2}{3}}} \left ( -9\,y \left ( x \right ) \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\, \left ( y \left ( x \right ) \right ) ^{2}-2\,y \left ( x \right ) }{{\it \_a}}}}+y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,y \left ( x \right ) \left ( i\sqrt {3}-2\,\sqrt [3]{6}\sqrt [3]{-9\,y \left ( x \right ) \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\, \left ( y \left ( x \right ) \right ) ^{2}-2\,y \left ( x \right ) }{{\it \_a}}}}+y \left ( x \right ) \right ) {{\it \_a}}^{2}}-1 \right ) {\it \_a} \right ) \left ( -{\frac { \left ( i\sqrt {3}+1 \right ) {6}^{{\frac {2}{3}}}}{6} \left ( -9\,y \left ( x \right ) \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\, \left ( y \left ( x \right ) \right ) ^{2}-2\,y \left ( x \right ) }{{\it \_a}}}}+y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}}+ \left ( i\sqrt {3}-1 \right ) y \left ( x \right ) {\it \_a} \right ) ^{-1}}\,{\rm d}{\it \_a}+\int ^{y \left ( x \right ) }\!-12\,{x\sqrt [3]{6}\sqrt [3]{-9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{{\it \_f}}^{2}x-2\,{\it \_f}}{x}}}+{\it \_f} \right ) {x}^{2}{\it \_f}} \left ( i\sqrt {3}{6}^{2/3} \left ( -9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{{\it \_f}}^{2}x-2\,{\it \_f}}{x}}}+{\it \_f} \right ) {x}^{2}{\it \_f} \right ) ^{2/3}-6\,i\sqrt {3}x{\it \_f}+{6}^{2/3} \left ( -9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{{\it \_f}}^{2}x-2\,{\it \_f}}{x}}}+{\it \_f} \right ) {x}^{2}{\it \_f} \right ) ^{2/3}+6\,x{\it \_f} \right ) ^{-1}}-\int _{{\it \_b}}^{x}\!18\,{{\it \_a}\,{\it \_f}\,\sqrt [3]{6} \left ( { \left ( i\sqrt {3}-1 \right ) {\it \_a}\,{\it \_f} \left ( {{\it \_f}\,\sqrt {3} \left ( {\it \_a}\,{\it \_f}-1/27 \right ) {\frac {1}{\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}}}}-2/3\,{\it \_a}\, \left ( -1/18\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) \right ) \left ( -9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) {{\it \_a}}^{2}{\it \_f} \right ) ^{-2/3}}+1/6\, \left ( i\sqrt {3}+1 \right ) {6}^{2/3} \left ( {{\it \_f}\,\sqrt {3} \left ( {\it \_a}\,{\it \_f}-1/27 \right ) {\frac {1}{\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}}}}+1/3\, \left ( -2/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) {\it \_a} \right ) \right ) \left ( -1/6\, \left ( i\sqrt {3}+1 \right ) {6}^{2/3} \left ( -9\, \left ( -1/9\,\sqrt {3}\sqrt {{\frac {27\,{\it \_a}\,{{\it \_f}}^{2}-2\,{\it \_f}}{{\it \_a}}}}+{\it \_f} \right ) {{\it \_a}}^{2}{\it \_f} \right ) ^{2/3}+ \left ( i\sqrt {3}-1 \right ) {\it \_a}\,{\it \_f} \right ) ^{-2}}\,{\rm d}{\it \_a}{d{\it \_f}}+{\it \_C1}=0 \right \} \]