\[ \left (a^2 x^2-1\right ) y''(x)+2 a^2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0283265 (sec), leaf count = 19
\[\left \{\left \{y(x)\to c_2-\frac {c_1 \tanh ^{-1}(a x)}{a}\right \}\right \}\] ✓ Maple : cpu = 0.013 (sec), leaf count = 27
\[\left \{y \left (x \right ) = c_{1}-\frac {c_{2} \left (-\ln \left (a x -1\right )+\ln \left (a x +1\right )\right )}{2 a}\right \}\]