\[ -(v-1) (v+2) y(x)+\left (x^2-1\right ) y''(x)-2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0169734 (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 = 0.047 (sec), leaf count = 29
\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( x-1 \right ) \left ( 1+x \right ) {\it LegendreP} \left ( v,2,x \right ) +{\it \_C2}\, \left ( x-1 \right ) \left ( 1+x \right ) {\it LegendreQ} \left ( v,2,x \right ) \right \} \]