\[ -a+\left (x^2-1\right ) y''(x)+2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.019254 (sec), leaf count = 36
\[\left \{\left \{y(x)\to \frac {1}{2} \left (a+c_1\right ) \log (1-x)+\frac {1}{2} \left (a-c_1\right ) \log (x+1)+c_2\right \}\right \}\]
✓ Maple : cpu = 0.019 (sec), leaf count = 34
\[ \left \{ y \left ( x \right ) ={\frac {\ln \left ( x-1 \right ) {\it \_C1}}{2}}+{\frac {\ln \left ( x-1 \right ) a}{2}}-{\frac {\ln \left ( 1+x \right ) {\it \_C1}}{2}}+{\frac {\ln \left ( 1+x \right ) a}{2}}+{\it \_C2} \right \} \]