\[ (1-v) (v+2) y(x)+\left (x^2-1\right ) y''(x)-2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0129755 (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 = 0.16 (sec), leaf count = 24
\[\{y \left (x \right ) = \left (x -1\right ) \left (x +1\right ) \left (c_{1} \LegendreP \left (v , 2, x\right )+c_{2} \LegendreQ \left (v , 2, x\right )\right )\}\]