\[ \boxed { {x}^{3}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) +{x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +\ln \left ( x \right ) +2\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) -2\,{x}^{3}=0} \]
Mathematica: cpu = 0.409052 (sec), leaf count = 30686 \[ \text {Unable to compile Latex} \]
Maple: cpu = 0.327 (sec), leaf count = 1770 \[ \left \{ y \left ( x \right ) =-\int \!-{\frac {5\, \left ( {x}^{1/12\, \sqrt [3]{44+12\,\sqrt {69}}+2/3+{\frac {11\, \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{1200}}-{\frac {\sqrt {69} \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{400}}} \right ) ^{2}\sqrt [3]{44+12\,\sqrt {69}} \left ( \ln \left ( x \right ) -2\,{x}^{3} \right ) }{2\,{x}^{3} \left ( 3\,\sqrt {23}\sqrt {3}+11 \right ) \left ( 11\,\sqrt {23}\sqrt {3}-207 \right ) } \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69} \left ( \cos \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\, \sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69} }+100 \right ) \ln \left ( x \right ) }{1200}} \right ) \right ) ^{2}+3\, \sqrt [3]{44+12\,\sqrt {69}}\sqrt {69} \left ( \sin \left ( {\frac { \sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\, \sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) \right ) ^{2}-11\,\sqrt [3]{44+ 12\,\sqrt {69}} \left ( \cos \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69} }\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) \right ) ^{2}-11\,\sqrt [3]{44+12\,\sqrt {69}} \left ( \sin \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) \right ) ^{2}+100\, \left ( \cos \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12 \,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) \right ) ^{2}+100\, \left ( \sin \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\, \sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200} } \right ) \right ) ^{2} \right ) }\,{\rm d}x{x}^{{\frac {\sqrt {69} \left ( 44+12\,\sqrt {69} \right ) ^{{\frac {2}{3}}}}{200}}-{\frac {11 \, \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{600}}-{\frac {\sqrt [3]{44 +12\,\sqrt {69}}}{6}}+{\frac {2}{3}}}+\int \!-{\frac {5\,{x}^{{\frac { \sqrt {69} \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{200}}-{\frac {11\, \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{600}}-1/6\,\sqrt [3]{44+12\, \sqrt {69}}+2/3}{x}^{1/12\,\sqrt [3]{44+12\,\sqrt {69}}+2/3+{\frac {11 \, \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{1200}}-{\frac {\sqrt {69} \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{400}}}\sqrt [3]{44+12\, \sqrt {69}} \left ( \ln \left ( x \right ) -2\,{x}^{3} \right ) \sqrt {3} }{6\,{x}^{3} \left ( 3\,\sqrt {23}\sqrt {3}+11 \right ) \left ( 11\, \sqrt {23}\sqrt {3}-207 \right ) } \left ( 3\,\sqrt [3]{44+12\,\sqrt {69 }}\sqrt {69}\cos \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12 \,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) \sqrt {3}-9\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}\sin \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\, \sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) -11\,\sqrt [3]{44+12\,\sqrt {69 }}\sqrt {3}\cos \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12 \,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) +33\, \sqrt [3]{44+12\,\sqrt {69}}\sin \left ( {\frac {\sqrt [3]{44+12\, \sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}- 11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{ 1200}} \right ) +100\,\sqrt {3}\cos \left ( {\frac {\sqrt [3]{44+12\, \sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}- 11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{ 1200}} \right ) +300\,\sin \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}} \sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [ 3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) \right ) }\,{\rm d}x{x}^{{\frac {\sqrt [3]{44+12\,\sqrt {69}} }{12}}+{\frac {2}{3}}+{\frac {11\, \left ( 44+12\,\sqrt {69} \right ) ^{ 2/3}}{1200}}-{\frac {\sqrt {69} \left ( 44+12\,\sqrt {69} \right ) ^{{ \frac {2}{3}}}}{400}}}\cos \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}} \sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [ 3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) +\int \!-{\frac {5\,{x}^{{\frac {\sqrt {69} \left ( 44+12\, \sqrt {69} \right ) ^{2/3}}{200}}-{\frac {11\, \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{600}}-1/6\,\sqrt [3]{44+12\,\sqrt {69}}+2/3}{x}^{1/12 \,\sqrt [3]{44+12\,\sqrt {69}}+2/3+{\frac {11\, \left ( 44+12\,\sqrt { 69} \right ) ^{2/3}}{1200}}-{\frac {\sqrt {69} \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{400}}}\sqrt [3]{44+12\,\sqrt {69}} \left ( \ln \left ( x \right ) -2\,{x}^{3} \right ) \sqrt {3}}{6\,{x}^{3} \left ( 3\, \sqrt {23}\sqrt {3}+11 \right ) \left ( 11\,\sqrt {23}\sqrt {3}-207 \right ) } \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}\sin \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) \sqrt {3}+9\,\sqrt [3] {44+12\,\sqrt {69}}\sqrt {69}\cos \left ( {\frac {\sqrt [3]{44+12\, \sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}- 11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{ 1200}} \right ) -11\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3}\sin \left ( { \frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12 \,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) -33\,\sqrt [3]{44+12\,\sqrt {69 }}\cos \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\, \sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69} }+100 \right ) \ln \left ( x \right ) }{1200}} \right ) +100\,\sqrt {3} \sin \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\, \sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69} }+100 \right ) \ln \left ( x \right ) }{1200}} \right ) -300\,\cos \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) \right ) }\,{\rm d}x{x }^{{\frac {\sqrt [3]{44+12\,\sqrt {69}}}{12}}+{\frac {2}{3}}+{\frac { 11\, \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{1200}}-{\frac {\sqrt {69 } \left ( 44+12\,\sqrt {69} \right ) ^{{\frac {2}{3}}}}{400}}}\sin \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) +{\it \_C1}\,{x}^{{ \frac {\sqrt {69} \left ( 44+12\,\sqrt {69} \right ) ^{{\frac {2}{3}}}}{ 200}}-{\frac {11\, \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{600}}-{ \frac {\sqrt [3]{44+12\,\sqrt {69}}}{6}}+{\frac {2}{3}}}+{\it \_C2}\,{ x}^{{\frac {\sqrt [3]{44+12\,\sqrt {69}}}{12}}+{\frac {2}{3}}+{\frac { 11\, \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{1200}}-{\frac {\sqrt {69 } \left ( 44+12\,\sqrt {69} \right ) ^{{\frac {2}{3}}}}{400}}}\cos \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) +{\it \_C3}\,{x}^{{ \frac {\sqrt [3]{44+12\,\sqrt {69}}}{12}}+{\frac {2}{3}}+{\frac {11\, \left ( 44+12\,\sqrt {69} \right ) ^{2/3}}{1200}}-{\frac {\sqrt {69} \left ( 44+12\,\sqrt {69} \right ) ^{{\frac {2}{3}}}}{400}}}\sin \left ( {\frac {\sqrt [3]{44+12\,\sqrt {69}}\sqrt {3} \left ( 3\,\sqrt [3]{44+12\,\sqrt {69}}\sqrt {69}-11\,\sqrt [3]{44+12\,\sqrt {69}}+100 \right ) \ln \left ( x \right ) }{1200}} \right ) \right \} \]