\[ (1-v) v y(x)+\left (x^2+1\right ) y''(x)+2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0107046 (sec), leaf count = 30
\[\{\{y(x)\to c_1 P_{v-1}(i x)+c_2 Q_{v-1}(i x)\}\}\] ✓ Maple : cpu = 0.041 (sec), leaf count = 25
\[y \relax (x ) = c_{1} \LegendreP \left (v -1, i x \right )+c_{2} \LegendreQ \left (v -1, i x \right )\]