\[ 8 \left (1-x^3\right ) y(x) y''(x)-4 \left (1-x^3\right ) y'(x)^2-12 x^2 y(x) y'(x)+3 x y(x)^2=0 \] ✗ Mathematica : cpu = 299.997 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.619 (sec), leaf count = 88
\[ \left \{ y \left ( x \right ) ={\frac {{{\it \_C2}}^{2}x}{4\,{\it \_C1}} \left ( {\it LegendreP} \left ( -{\frac {1}{6}},{\frac {1}{3}},\sqrt {- \left ( x-1 \right ) \left ( {x}^{2}+x+1 \right ) } \right ) \right ) ^{2}}+{\it \_C1}\, \left ( {\it LegendreQ} \left ( -{\frac {1}{6}},{\frac {1}{3}},\sqrt {- \left ( x-1 \right ) \left ( {x}^{2}+x+1 \right ) } \right ) \right ) ^{2}x+{\it \_C2}\,{\it LegendreP} \left ( -{\frac {1}{6}},{\frac {1}{3}},\sqrt {- \left ( x-1 \right ) \left ( {x}^{2}+x+1 \right ) } \right ) x{\it LegendreQ} \left ( -{\frac {1}{6}},{\frac {1}{3}},\sqrt {- \left ( x-1 \right ) \left ( {x}^{2}+x+1 \right ) } \right ) \right \} \]