\[ -v (v+1) y(x)+\left (x^2-1\right ) y''(x)+2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0199353 (sec), leaf count = 18
\[\left \{\left \{y(x)\to c_1 P_v(x)+c_2 Q_v(x)\right \}\right \}\]
✓ Maple : cpu = 0.044 (sec), leaf count = 15
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{\it LegendreP} \left ( v,x \right ) +{\it \_C2}\,{\it LegendreQ} \left ( v,x \right ) \right \} \]