\[ -(v-1) (v+2) y(x)+\left (x^2-1\right ) y''(x)-2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.013561 (sec), leaf count = 30
\[\left \{\left \{y(x)\to c_1 \left (x^2-1\right ) P_v^2(x)+c_2 \left (x^2-1\right ) Q_v^2(x)\right \}\right \}\] ✓ Maple : cpu = 0.222 (sec), leaf count = 24
\[ \left \{ y \left ( x \right ) = \left ( 1+x \right ) \left ( x-1 \right ) \left ( {\it \_C2}\,{\it LegendreQ} \left ( v,2,x \right ) +{\it \_C1}\,{\it LegendreP} \left ( v,2,x \right ) \right ) \right \} \]