\[ \left (x^2-a^2\right ) y''(x)+8 x y'(x)+12 y(x)=0 \] ✓ Mathematica : cpu = 0.0419103 (sec), leaf count = 41
\[\left \{\left \{y(x)\to \frac {c_2 \left (a^2+3 x^2\right )}{3 (a-x)^3 (a+x)^3}+\frac {c_1}{(a+x)^3}\right \}\right \}\] ✓ Maple : cpu = 0.045 (sec), leaf count = 41
\[ \left \{ y \left ( x \right ) ={\frac {3\,{\it \_C2}\,{a}^{2}x+{\it \_C2}\,{x}^{3}+{\it \_C1}\,{a}^{2}+3\,{\it \_C1}\,{x}^{2}}{ \left ( a-x \right ) ^{3} \left ( x+a \right ) ^{3}}} \right \} \]