\[ \left (a^2 x^2-1\right ) y''(x)+2 a^2 x y'(x)-2 a^2 y(x)=0 \] ✓ Mathematica : cpu = 0.0588883 (sec), leaf count = 39
\[\left \{\left \{y(x)\to a c_1 x-\frac {1}{2} c_2 (a x \log (1-a x)-a x \log (a x+1)+2)\right \}\right \}\]
✓ Maple : cpu = 0.048 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C2}\,a\ln \left ( ax-1 \right ) x}{2}}-{\frac {{\it \_C2}\,a\ln \left ( ax+1 \right ) x}{2}}+{\it \_C1}\,x+{\it \_C2} \right \} \]