\[ \boxed { 2\, \left ( x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +y \left ( x \right ) \right ) ^{3}-y \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.608 (sec), leaf count = 3181 \[ \left \{ \int _{{\it \_b}}^{x}\!-{\frac {1}{{\it \_a}} \left ( {6}^{{ \frac {2}{3}}} \left ( y \left ( x \right ) \left ( \sqrt {3}\sqrt {{ \frac {y \left ( x \right ) \left ( 27\,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9\,y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,y \left ( x \right ) {\it \_a}\,\sqrt [3]{ 6}\sqrt [3]{y \left ( x \right ) \left ( \sqrt {3}\sqrt {{\frac {y \left ( x \right ) \left ( 27\,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9\,y \left ( x \right ) \right ) {{\it \_a}}^{2} }+6\,{\it \_a}\,y \left ( x \right ) \right ) \left ( {6}^{{\frac {2}{3} }} \left ( y \left ( x \right ) \left ( \sqrt {3}\sqrt {{\frac {y \left ( x \right ) \left ( 27\,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9\,y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{ \frac {2}{3}}}+6\,{\it \_a}\,y \left ( x \right ) \right ) ^{-1}} \,{\rm d}{\it \_a}+\int ^{y \left ( x \right ) }\!6\,{x\sqrt [3]{6} \sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,x{\it \_f}-2 \right ) }{x}}}-9\,{\it \_f} \right ) {x}^{2}} \left ( {6}^{2/3} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{ \it \_f}\, \left ( 27\,x{\it \_f}-2 \right ) }{x}}}-9\,{\it \_f} \right ) {x}^{2} \right ) ^{2/3}+6\,x{\it \_f} \right ) ^{-1}}-\int _{{ \it \_b}}^{x}\!-{\frac {1}{{\it \_a}} \left ( {\frac {2\,{6}^{2/3}}{3} \left ( \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}+{\it \_f}\, \left ( {\frac {\sqrt {3}}{2} \left ( {\frac {27\, {\it \_a}\,{\it \_f}-2}{{\it \_a}}}+27\,{\it \_f} \right ) {\frac {1}{ \sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^{2} \right ) {\frac {1}{\sqrt [ 3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{ \it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{ \it \_a}}^{2}}}}}-6\,{\it \_a}\,\sqrt [3]{6}\sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} }-2\,{{\it \_a}\,{\it \_f}\,\sqrt [3]{6} \left ( \left ( \sqrt {3} \sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}+{\it \_f}\, \left ( 1/2\,{\sqrt {3} \left ( {\frac {27\,{\it \_a}\,{\it \_f}-2}{{ \it \_a}}}+27\,{\it \_f} \right ) {\frac {1}{\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^{2} \right ) \left ( {\it \_f}\, \left ( \sqrt {3} \sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{-2/3}}+6 \,{\it \_a} \right ) \left ( {6}^{{\frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}+6\,{\it \_a}\,{\it \_f} \right ) ^{-1}}+{ \frac {1}{{\it \_a}} \left ( {6}^{{\frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,{\it \_f}\,{\it \_a}\,\sqrt [3]{6}\sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\, {\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{ \it \_a}}^{2}}+6\,{\it \_a}\,{\it \_f} \right ) \left ( {\frac {2\,{6}^ {2/3}}{3} \left ( \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27 \,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) { {\it \_a}}^{2}+{\it \_f}\, \left ( {\frac {\sqrt {3}}{2} \left ( {\frac {27\,{\it \_a}\,{\it \_f}-2}{{\it \_a}}}+27\,{\it \_f} \right ) {\frac {1}{\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^{2} \right ) {\frac {1 }{\sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}}}}}+6\,{\it \_a} \right ) \left ( {6}^{{\frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {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}{{\it \_a}} \left ( i\sqrt {3}{6}^{{\frac {2} {3}}} \left ( y \left ( x \right ) \left ( \sqrt {3}\sqrt {{\frac {y \left ( x \right ) \left ( 27\,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9\,y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,i\sqrt {3}{\it \_a}\,y \left ( x \right ) -{6}^{{\frac {2}{3}}} \left ( y \left ( x \right ) \left ( \sqrt {3} \sqrt {{\frac {y \left ( x \right ) \left ( 27\,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9\,y \left ( x \right ) \right ) {{ \it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-12\,y \left ( x \right ) {\it \_a}\,\sqrt [3]{6}\sqrt [3]{y \left ( x \right ) \left ( \sqrt {3}\sqrt {{\frac {y \left ( x \right ) \left ( 27\,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9\,y \left ( x \right ) \right ) {{\it \_a}}^{ 2}}-6\,{\it \_a}\,y \left ( x \right ) \right ) \left ( i\sqrt {3}{6}^{{ \frac {2}{3}}} \left ( y \left ( x \right ) \left ( \sqrt {3}\sqrt {{ \frac {y \left ( x \right ) \left ( 27\,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9\,y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,i\sqrt {3}{\it \_a}\,y \left ( x \right ) -{6}^{{\frac {2}{3}}} \left ( y \left ( x \right ) \left ( \sqrt {3} \sqrt {{\frac {y \left ( x \right ) \left ( 27\,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9\,y \left ( x \right ) \right ) {{ \it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,{\it \_a}\,y \left ( x \right ) \right ) ^{-1}}\,{\rm d}{\it \_a}+\int ^{y \left ( x \right ) } \!12\,{x\sqrt [3]{6}\sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{ \frac {{\it \_f}\, \left ( 27\,x{\it \_f}-2 \right ) }{x}}}-9\,{\it \_f} \right ) {x}^{2}} \left ( i\sqrt {3}{6}^{2/3} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,x{\it \_f}-2 \right ) }{x}}}-9\,{\it \_f} \right ) {x}^{2} \right ) ^{2/3}-6\,i\sqrt {3}x{\it \_f}-{6}^{2/3} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{ \frac {{\it \_f}\, \left ( 27\,x{\it \_f}-2 \right ) }{x}}}-9\,{\it \_f} \right ) {x}^{2} \right ) ^{2/3}-6\,x{\it \_f} \right ) ^{-1}}-\int _{{ \it \_b}}^{x}\!-{\frac {1}{{\it \_a}} \left ( {{\frac {2\,i}{3}}\sqrt { 3}{6}^{{\frac {2}{3}}} \left ( \left ( \sqrt {3}\sqrt {{\frac {{\it \_f }\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}+{\it \_f}\, \left ( {\frac {\sqrt {3}}{2} \left ( {\frac {27\,{\it \_a}\,{\it \_f}-2}{{\it \_a}}}+27\,{\it \_f} \right ) {\frac {1}{\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^{2} \right ) {\frac {1}{\sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{ \frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}}}}}-6\,i\sqrt {3}{\it \_a }-{\frac {2\,{6}^{2/3}}{3} \left ( \left ( \sqrt {3}\sqrt {{\frac {{ \it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9 \,{\it \_f} \right ) {{\it \_a}}^{2}+{\it \_f}\, \left ( {\frac {\sqrt { 3}}{2} \left ( {\frac {27\,{\it \_a}\,{\it \_f}-2}{{\it \_a}}}+27\,{ \it \_f} \right ) {\frac {1}{\sqrt {{\frac {{\it \_f}\, \left ( 27\,{ \it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^ {2} \right ) {\frac {1}{\sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{ \frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}}}}}-12\,{\it \_a}\,\sqrt [3]{6}\sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}}-4\,{{\it \_a}\,{\it \_f}\,\sqrt [3]{6} \left ( \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}+{\it \_f}\, \left ( 1/2\,{\sqrt {3} \left ( {\frac {27\,{\it \_a}\,{\it \_f}-2}{{\it \_a}}}+27\,{\it \_f} \right ) {\frac {1}{\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^{2} \right ) \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{-2/3}}-6\,{\it \_a} \right ) \left ( i\sqrt {3}{6}^{{\frac { 2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,i\sqrt {3}{\it \_a}\,{\it \_f}-{6}^{{\frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt { 3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^ {{\frac {2}{3}}}-6\,{\it \_a}\,{\it \_f} \right ) ^{-1}}+{\frac {1}{{ \it \_a}} \left ( i\sqrt {3}{6}^{{\frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,i\sqrt {3}{\it \_a}\,{\it \_f}-{6}^{{ \frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{ \it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-12\,{\it \_f}\,{\it \_a}\,\sqrt [3]{6}\sqrt [3]{{\it \_f}\, \left ( \sqrt {3} \sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}}-6\,{\it \_a}\,{ \it \_f} \right ) \left ( {{\frac {2\,i}{3}}\sqrt {3}{6}^{{\frac {2}{3} }} \left ( \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}+{\it \_f}\, \left ( {\frac {\sqrt {3}}{2} \left ( {\frac {27\, {\it \_a}\,{\it \_f}-2}{{\it \_a}}}+27\,{\it \_f} \right ) {\frac {1}{ \sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^{2} \right ) {\frac {1}{\sqrt [ 3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{ \it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{ \it \_a}}^{2}}}}}-6\,i\sqrt {3}{\it \_a}-{\frac {2\,{6}^{2/3}}{3} \left ( \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}+{\it \_f}\, \left ( {\frac {\sqrt {3}}{2} \left ( {\frac {27\, {\it \_a}\,{\it \_f}-2}{{\it \_a}}}+27\,{\it \_f} \right ) {\frac {1}{ \sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^{2} \right ) {\frac {1}{\sqrt [ 3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{ \it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{ \it \_a}}^{2}}}}}-6\,{\it \_a} \right ) \left ( i\sqrt {3}{6}^{{\frac { 2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,i\sqrt {3}{\it \_a}\,{\it \_f}-{6}^{{\frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt { 3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^ {{\frac {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}{{\it \_a}} \left ( i\sqrt {3}{6}^{{\frac {2}{3}}} \left ( y \left ( x \right ) \left ( \sqrt {3}\sqrt {{\frac {y \left ( x \right ) \left ( 27\,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9\,y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,i\sqrt {3}{\it \_a}\,y \left ( x \right ) +{6}^{{\frac {2}{3}}} \left ( y \left ( x \right ) \left ( \sqrt {3}\sqrt {{\frac {y \left ( x \right ) \left ( 27\,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9 \,y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}} }+12\,y \left ( x \right ) {\it \_a}\,\sqrt [3]{6}\sqrt [3]{y \left ( x \right ) \left ( \sqrt {3}\sqrt {{\frac {y \left ( x \right ) \left ( 27 \,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9\,y \left ( x \right ) \right ) {{\it \_a}}^{2}}+6\,{\it \_a}\,y \left ( x \right ) \right ) \left ( i\sqrt {3}{6}^{{\frac {2}{3}}} \left ( y \left ( x \right ) \left ( \sqrt {3}\sqrt {{\frac {y \left ( x \right ) \left ( 27 \,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9\,y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,i \sqrt {3}{\it \_a}\,y \left ( x \right ) +{6}^{{\frac {2}{3}}} \left ( y \left ( x \right ) \left ( \sqrt {3}\sqrt {{\frac {y \left ( x \right ) \left ( 27\,{\it \_a}\,y \left ( x \right ) -2 \right ) }{{\it \_a}}}}-9 \,y \left ( x \right ) \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}} }+6\,{\it \_a}\,y \left ( x \right ) \right ) ^{-1}}\,{\rm d}{\it \_a}+ \int ^{y \left ( x \right ) }\!-12\,{x\sqrt [3]{6}\sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,x{\it \_f}-2 \right ) }{x}}}-9\,{\it \_f} \right ) {x}^{2}} \left ( i\sqrt {3}{6}^{2/ 3} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,x{\it \_f}-2 \right ) }{x}}}-9\,{\it \_f} \right ) {x}^{2} \right ) ^{2/3}-6\,i\sqrt {3}x{\it \_f}+{6}^{2/3} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,x{\it \_f}-2 \right ) }{x}}}-9\,{\it \_f} \right ) {x}^{2} \right ) ^{2/3}+6\,x{\it \_f} \right ) ^{-1}}-\int _{{\it \_b}}^{x}\!-{\frac {1}{{\it \_a}} \left ( {{\frac {2\,i}{3}}\sqrt {3}{6}^{{\frac {2}{3}}} \left ( \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} +{\it \_f}\, \left ( {\frac {\sqrt {3}}{2} \left ( {\frac {27\,{\it \_a} \,{\it \_f}-2}{{\it \_a}}}+27\,{\it \_f} \right ) {\frac {1}{\sqrt {{ \frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^{2} \right ) {\frac {1}{\sqrt [3]{{ \it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}}}}}-6\,i\sqrt {3}{\it \_a}+{\frac {2\,{6}^{2/3}}{3} \left ( \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} +{\it \_f}\, \left ( {\frac {\sqrt {3}}{2} \left ( {\frac {27\,{\it \_a} \,{\it \_f}-2}{{\it \_a}}}+27\,{\it \_f} \right ) {\frac {1}{\sqrt {{ \frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^{2} \right ) {\frac {1}{\sqrt [3]{{ \it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}}}}}+12\,{\it \_a}\,\sqrt [3]{6}\sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}}+4\,{{ \it \_a}\,{\it \_f}\,\sqrt [3]{6} \left ( \left ( \sqrt {3}\sqrt {{ \frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}+{\it \_f}\, \left ( 1/2\,{ \sqrt {3} \left ( {\frac {27\,{\it \_a}\,{\it \_f}-2}{{\it \_a}}}+27\,{ \it \_f} \right ) {\frac {1}{\sqrt {{\frac {{\it \_f}\, \left ( 27\,{ \it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^ {2} \right ) \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{ \it \_f} \right ) {{\it \_a}}^{2} \right ) ^{-2/3}}+6\,{\it \_a} \right ) \left ( i\sqrt {3}{6}^{{\frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,i\sqrt {3}{\it \_a}\,{\it \_f}+{6}^{{ \frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{ \it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}+6\,{\it \_a }\,{\it \_f} \right ) ^{-1}}+{\frac {1}{{\it \_a}} \left ( i\sqrt {3}{6} ^{{\frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{ \it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9 \,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,i \sqrt {3}{\it \_a}\,{\it \_f}+{6}^{{\frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}+12\,{\it \_f}\,{\it \_a}\,\sqrt [3]{6} \sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}}+6\,{\it \_a}\,{\it \_f} \right ) \left ( {{ \frac {2\,i}{3}}\sqrt {3}{6}^{{\frac {2}{3}}} \left ( \left ( \sqrt {3} \sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}+{\it \_f}\, \left ( {\frac {\sqrt {3}}{2} \left ( {\frac {27\,{\it \_a}\,{\it \_f}- 2}{{\it \_a}}}+27\,{\it \_f} \right ) {\frac {1}{\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^{2} \right ) {\frac {1}{\sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} }}}}-6\,i\sqrt {3}{\it \_a}+{\frac {2\,{6}^{2/3}}{3} \left ( \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2}+{\it \_f} \, \left ( {\frac {\sqrt {3}}{2} \left ( {\frac {27\,{\it \_a}\,{\it \_f }-2}{{\it \_a}}}+27\,{\it \_f} \right ) {\frac {1}{\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}}}}-9 \right ) {{\it \_a}}^{2} \right ) {\frac {1}{\sqrt [3]{{\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{ \it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} }}}}+6\,{\it \_a} \right ) \left ( i\sqrt {3}{6}^{{\frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt {3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^{{\frac {2}{3}}}-6\,i\sqrt {3}{\it \_a}\,{\it \_f}+{6}^{{\frac {2}{3}}} \left ( {\it \_f}\, \left ( \sqrt { 3}\sqrt {{\frac {{\it \_f}\, \left ( 27\,{\it \_a}\,{\it \_f}-2 \right ) }{{\it \_a}}}}-9\,{\it \_f} \right ) {{\it \_a}}^{2} \right ) ^ {{\frac {2}{3}}}+6\,{\it \_a}\,{\it \_f} \right ) ^{-2}}\,{\rm d}{\it \_a}{d{\it \_f}}+{\it \_C1}=0 \right \} \]