\[ -a+\left (x^2-1\right ) y''(x)+2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0267852 (sec), leaf count = 36
\[\left \{\left \{y(x)\to \frac {1}{2} (a+c_1) \log (1-x)+\frac {1}{2} (a-c_1) \log (x+1)+c_2\right \}\right \}\] ✓ Maple : cpu = 0.024 (sec), leaf count = 26
\[y \relax (x ) = \frac {\left (a -c_{1}\right ) \ln \left (1+x \right )}{2}+\frac {\left (a +c_{1}\right ) \ln \left (x -1\right )}{2}+c_{2}\]