\[ -v (v+1) y(x)+\left (x^2-1\right ) y''(x)+2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.014132 (sec), leaf count = 18
\[\{\{y(x)\to c_1 P_v(x)+c_2 Q_v(x)\}\}\] ✓ Maple : cpu = 0.15 (sec), leaf count = 15
\[\{y \left (x \right ) = c_{1} \LegendreP \left (v , x\right )+c_{2} \LegendreQ \left (v , x\right )\}\]