2.1241   ODE No. 1241

\[ (1-v) (v+2) y(x)+\left (x^2-1\right ) y''(x)-2 x y'(x)=0 \] Mathematica : cpu = 0.0113988 (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 = 0.044 (sec), leaf count = 24


\[y \relax (x ) = \left (x -1\right ) \left (1+x \right ) \left (c_{2} \LegendreQ \left (v , 2, x\right )+c_{1} \LegendreP \left (v , 2, x\right )\right )\]