\[ a x^3 y(x)-b x+y^{(3)}(x)=0 \] ✗ Mathematica : cpu = 300.004 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.577 (sec), leaf count = 1616
\[ \left \{ y \left ( x \right ) =\int \!-11211200\,{b{x}^{3} \left ( \left ( -5/8\,{x}^{6}{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})}a+35\,{\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,5/6,7/6;\,-{\frac {a{x}^{6}}{216}})}+{x}^{6}{\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})}a{\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})} \right ) \left ( \left ( \left ( -178360\,{a}^{2}{x}^{12}{\mbox {$_0$F$_2$}(\ ;\,8/3,{\frac {17}{6}};\,-{\frac {a{x}^{6}}{216}})}+58858800\,a{x}^{6}{\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})}-784784000\,{\mbox {$_0$F$_2$}(\ ;\,2/3,5/6;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})}-1925\, \left ( \left ( 20\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {19}{6}},10/3;\,-{\frac {a{x}^{6}}{216}})}a{x}^{6}-32760\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,2/3,5/6;\,-{\frac {a{x}^{6}}{216}})}+a \left ( \left ( -{\frac {91\,a{x}^{6}}{55}{\mbox {$_0$F$_2$}(\ ;\,8/3,{\frac {17}{6}};\,-{\frac {a{x}^{6}}{216}})}}-728\,{\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})}+a{\mbox {$_0$F$_2$}(\ ;\,{\frac {19}{6}},10/3;\,-{\frac {a{x}^{6}}{216}})}{x}^{6}{\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) {x}^{6} \right ) a{x}^{6} \right ) {\mbox {$_0$F$_2$}(\ ;\,5/6,7/6;\,-{\frac {a{x}^{6}}{216}})}+1100\, \left ( \left ( \left ( {\frac {1568\,a{x}^{6}}{11}{\mbox {$_0$F$_2$}(\ ;\,{\frac {17}{6}},{\frac {19}{6}};\,-{\frac {a{x}^{6}}{216}})}}-122304\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,2/3,5/6;\,-{\frac {a{x}^{6}}{216}})}-{\frac {1274\,a{x}^{6}}{275} \left ( \left ( {\mbox {$_0$F$_2$}(\ ;\,8/3,{\frac {17}{6}};\,-{\frac {a{x}^{6}}{216}})}a{x}^{6}+220\,{\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})}-{\frac {10\,a{x}^{6}}{13}{\mbox {$_0$F$_2$}(\ ;\,{\frac {17}{6}},{\frac {19}{6}};\,-{\frac {a{x}^{6}}{216}})}{\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})}} \right ) } \right ) {\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})}+{x}^{6} \left ( \left ( {\mbox {$_0$F$_2$}(\ ;\,{\frac {19}{6}},10/3;\,-{\frac {a{x}^{6}}{216}})}a{x}^{6}-364\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})}-{\frac {14\,a{x}^{6}}{11}{\mbox {$_0$F$_2$}(\ ;\,{\frac {17}{6}},{\frac {19}{6}};\,-{\frac {a{x}^{6}}{216}})}{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})}} \right ) a{\mbox {$_0$F$_2$}(\ ;\,2/3,5/6;\,-{\frac {a{x}^{6}}{216}})} \right ) {x}^{6}a \right ) ^{-1}}\,{\rm d}x{\mbox {$_0$F$_2$}(\ ;\,{\frac {2}{3}},{\frac {5}{6}};\,-{\frac {a{x}^{6}}{216}})}+\int \!-7007000\,{b{x}^{2} \left ( \left ( {x}^{6}{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})}a-112\,{\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,2/3,5/6;\,-{\frac {a{x}^{6}}{216}})}-{\frac {14\,a{x}^{6}}{5}{\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})}{\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})}} \right ) \left ( \left ( \left ( 156800\,{a}^{2}{\mbox {$_0$F$_2$}(\ ;\,{\frac {17}{6}},{\frac {19}{6}};\,-{\frac {a{x}^{6}}{216}})}{x}^{12}-134534400\,{x}^{6}{\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})}a-784784000\,{\mbox {$_0$F$_2$}(\ ;\,5/6,7/6;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})}+1100\,{x}^{6}a \left ( \left ( -35\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {19}{6}},10/3;\,-{\frac {a{x}^{6}}{216}})}a{x}^{6}+57330\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,5/6,7/6;\,-{\frac {a{x}^{6}}{216}})}+{x}^{6} \left ( \left ( -{\frac {14\,a{x}^{6}}{11}{\mbox {$_0$F$_2$}(\ ;\,{\frac {17}{6}},{\frac {19}{6}};\,-{\frac {a{x}^{6}}{216}})}}-364\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})}+a{\mbox {$_0$F$_2$}(\ ;\,{\frac {19}{6}},10/3;\,-{\frac {a{x}^{6}}{216}})}{x}^{6}{\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) a \right ) \right ) {\mbox {$_0$F$_2$}(\ ;\,2/3,5/6;\,-{\frac {a{x}^{6}}{216}})}-5096\, \left ( \left ( \left ( 35\,{\mbox {$_0$F$_2$}(\ ;\,8/3,{\frac {17}{6}};\,-{\frac {a{x}^{6}}{216}})}a{x}^{6}-11550\,{\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,5/6,7/6;\,-{\frac {a{x}^{6}}{216}})}+{x}^{6}a \left ( \left ( -{\frac {10\,a{x}^{6}}{13}{\mbox {$_0$F$_2$}(\ ;\,{\frac {17}{6}},{\frac {19}{6}};\,-{\frac {a{x}^{6}}{216}})}}+220\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})}+a{x}^{6}{\mbox {$_0$F$_2$}(\ ;\,8/3,{\frac {17}{6}};\,-{\frac {a{x}^{6}}{216}})}{\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) \right ) {\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})}+{\frac {275\,a{x}^{6}}{728} \left ( \left ( {\mbox {$_0$F$_2$}(\ ;\,{\frac {19}{6}},10/3;\,-{\frac {a{x}^{6}}{216}})}a{x}^{6}-728\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})}-{\frac {91\,a{x}^{6}}{55}{\mbox {$_0$F$_2$}(\ ;\,8/3,{\frac {17}{6}};\,-{\frac {a{x}^{6}}{216}})}{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})}} \right ) {\mbox {$_0$F$_2$}(\ ;\,5/6,7/6;\,-{\frac {a{x}^{6}}{216}})}} \right ) {x}^{6}a \right ) ^{-1}}\,{\rm d}xx{\mbox {$_0$F$_2$}(\ ;\,{\frac {5}{6}},{\frac {7}{6}};\,-{\frac {a{x}^{6}}{216}})}+\int \!11211200\,{bx \left ( \left ( {x}^{6}{\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})}a-35\,{\mbox {$_0$F$_2$}(\ ;\,5/6,7/6;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,2/3,5/6;\,-{\frac {a{x}^{6}}{216}})}-7/4\,{x}^{6}{\mbox {$_0$F$_2$}(\ ;\,5/6,7/6;\,-{\frac {a{x}^{6}}{216}})}{\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})}a \right ) \left ( \left ( \left ( -38500\,{x}^{12}{\mbox {$_0$F$_2$}(\ ;\,{\frac {19}{6}},10/3;\,-{\frac {a{x}^{6}}{216}})}{a}^{2}+63063000\,{x}^{6}{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})}a-784784000\,{\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,5/6,7/6;\,-{\frac {a{x}^{6}}{216}})}+1100\,{x}^{6} \left ( \left ( {\frac {1568\,a{x}^{6}}{11}{\mbox {$_0$F$_2$}(\ ;\,{\frac {17}{6}},{\frac {19}{6}};\,-{\frac {a{x}^{6}}{216}})}}-122304\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})}+{x}^{6} \left ( \left ( {\mbox {$_0$F$_2$}(\ ;\,{\frac {19}{6}},10/3;\,-{\frac {a{x}^{6}}{216}})}a{x}^{6}-364\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})}-{\frac {14\,a{x}^{6}}{11}{\mbox {$_0$F$_2$}(\ ;\,{\frac {17}{6}},{\frac {19}{6}};\,-{\frac {a{x}^{6}}{216}})}{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})}} \right ) a \right ) a \right ) {\mbox {$_0$F$_2$}(\ ;\,2/3,5/6;\,-{\frac {a{x}^{6}}{216}})}-5096\, \left ( \left ( \left ( 35\,{\mbox {$_0$F$_2$}(\ ;\,8/3,{\frac {17}{6}};\,-{\frac {a{x}^{6}}{216}})}a{x}^{6}-11550\,{\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})}+{\frac {275\,a{x}^{6}}{728} \left ( \left ( {\mbox {$_0$F$_2$}(\ ;\,{\frac {19}{6}},10/3;\,-{\frac {a{x}^{6}}{216}})}a{x}^{6}-728\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})}-{\frac {91\,a{x}^{6}}{55}{\mbox {$_0$F$_2$}(\ ;\,8/3,{\frac {17}{6}};\,-{\frac {a{x}^{6}}{216}})}{\mbox {$_0$F$_2$}(\ ;\,{\frac {13}{6}},7/3;\,-{\frac {a{x}^{6}}{216}})}} \right ) } \right ) {\mbox {$_0$F$_2$}(\ ;\,5/6,7/6;\,-{\frac {a{x}^{6}}{216}})}+{x}^{6}a{\mbox {$_0$F$_2$}(\ ;\,7/6,4/3;\,-{\frac {a{x}^{6}}{216}})} \left ( \left ( {\mbox {$_0$F$_2$}(\ ;\,8/3,{\frac {17}{6}};\,-{\frac {a{x}^{6}}{216}})}a{x}^{6}+220\,{\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})} \right ) {\mbox {$_0$F$_2$}(\ ;\,{\frac {11}{6}},{\frac {13}{6}};\,-{\frac {a{x}^{6}}{216}})}-{\frac {10\,a{x}^{6}}{13}{\mbox {$_0$F$_2$}(\ ;\,{\frac {17}{6}},{\frac {19}{6}};\,-{\frac {a{x}^{6}}{216}})}{\mbox {$_0$F$_2$}(\ ;\,5/3,{\frac {11}{6}};\,-{\frac {a{x}^{6}}{216}})}} \right ) \right ) {x}^{6}a \right ) ^{-1}}\,{\rm d}x{x}^{2}{\mbox {$_0$F$_2$}(\ ;\,{\frac {7}{6}},{\frac {4}{3}};\,-{\frac {a{x}^{6}}{216}})}+{\it \_C1}\,{\mbox {$_0$F$_2$}(\ ;\,{\frac {2}{3}},{\frac {5}{6}};\,-{\frac {a{x}^{6}}{216}})}+{\it \_C2}\,x{\mbox {$_0$F$_2$}(\ ;\,{\frac {5}{6}},{\frac {7}{6}};\,-{\frac {a{x}^{6}}{216}})}+{\it \_C3}\,{x}^{2}{\mbox {$_0$F$_2$}(\ ;\,{\frac {7}{6}},{\frac {4}{3}};\,-{\frac {a{x}^{6}}{216}})} \right \} \]