\[ -(-n+v+1) (n+v) y(x)-2 (n-1) x y'(x)+\left (x^2-1\right ) y''(x)=0 \] ✓ Mathematica : cpu = 0.0161623 (sec), leaf count = 42
\[\left \{\left \{y(x)\to c_1 \left (x^2-1\right )^{n/2} P_v^n(x)+c_2 \left (x^2-1\right )^{n/2} Q_v^n(x)\right \}\right \}\] ✓ Maple : cpu = 0.306 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) = \left ( {x}^{2}-1 \right ) ^{{\frac {n}{2}}} \left ( {\it LegendreP} \left ( v,n,x \right ) {\it \_C1}+{\it LegendreQ} \left ( v,n,x \right ) {\it \_C2} \right ) \right \} \]