\[ y''(x)=-\frac {27 x y(x)}{16 \left (x^3-1\right )^2} \] ✗ Mathematica : cpu = 299.999 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.174 (sec), leaf count = 44
\[ \left \{ y \left ( x \right ) =\sqrt {x}\sqrt [4]{{x}^{3}-1} \left ( {\it LegendreQ} \left ( -{\frac {1}{6}},{\frac {1}{3}},\sqrt {-{x}^{3}+1} \right ) {\it \_C2}+{\it LegendreP} \left ( -{\frac {1}{6}},{\frac {1}{3}},\sqrt {-{x}^{3}+1} \right ) {\it \_C1} \right ) \right \} \]