\[ \left (x^2-a^2\right ) y''(x)+8 x y'(x)+12 y(x)=0 \] ✓ Mathematica : cpu = 0.058135 (sec), leaf count = 38
\[\left \{\left \{y(x)\to \frac {\frac {c_2 \left (a^2+3 x^2\right )}{(a-x)^3}+3 c_1}{3 (a+x)^3}\right \}\right \}\]
✓ Maple : cpu = 0.031 (sec), leaf count = 41
\[ \left \{ y \left ( x \right ) ={\frac {3\,{\it \_C2}\,{a}^{2}x+{\it \_C2}\,{x}^{3}+{\it \_C1}\,{a}^{2}+3\,{\it \_C1}\,{x}^{2}}{ \left ( a-x \right ) ^{3} \left ( x+a \right ) ^{3}}} \right \} \]