\[ 8 \left (1-x^3\right ) y(x) y''(x)-4 \left (1-x^3\right ) y'(x)^2-12 x^2 y(x) y'(x)+3 x y(x)^2=0 \] ✗ Mathematica : cpu = 299.997 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.35 (sec), leaf count = 49
\[ \left \{ y \left ( x \right ) ={\frac {x}{{\it \_C1}} \left ( {\it \_C1}\,{\it LegendreQ} \left ( -{\frac {1}{6}},{\frac {1}{3}},\sqrt {- \left ( x-1 \right ) \left ( {x}^{2}+x+1 \right ) } \right ) +{\frac {{\it \_C2}}{2}{\it LegendreP} \left ( -{\frac {1}{6}},{\frac {1}{3}},\sqrt {- \left ( x-1 \right ) \left ( {x}^{2}+x+1 \right ) } \right ) } \right ) ^{2}} \right \} \]