\[ -(-n+v+1) (n+v) y(x)-2 (n-1) x y'(x)+\left (x^2-1\right ) y''(x)=0 \] ✓ Mathematica : cpu = 0.0237675 (sec), leaf count = 32
\[\left \{\left \{y(x)\to \left (x^2-1\right )^{n/2} \left (c_1 P_v^n(x)+c_2 Q_v^n(x)\right )\right \}\right \}\]
✓ Maple : cpu = 0.057 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) = \left ( {x}^{2}-1 \right ) ^{{\frac {n}{2}}} \left ( {\it LegendreQ} \left ( v,n,x \right ) {\it \_C2}+{\it LegendreP} \left ( v,n,x \right ) {\it \_C1} \right ) \right \} \]