\[ x^3 y^{(3)}(x)-2 x^3+x^2 y''(x)+2 x y'(x)-y(x)+\log (x)=0 \] ✓ Mathematica : cpu = 0.40462 (sec), leaf count = 30686
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✓ Maple : cpu = 0.717 (sec), leaf count = 1771
\[ \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 {3}\sqrt {23}+11 \right ) \left ( 11\,\sqrt {3}\sqrt {23}-207 \right ) } \left ( 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}+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}-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}-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}+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}+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} \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 {3}\sqrt {23}+11 \right ) \left ( 11\,\sqrt {3}\sqrt {23}-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\,\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}-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 {3}\sqrt {23}+11 \right ) \left ( 11\,\sqrt {3}\sqrt {23}-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\,\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}-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 \} \]