\[ \left (x^2-a^2\right ) y''(x)+8 x y'(x)+12 y(x)=0 \] ✓ Mathematica : cpu = 0.053804 (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 = 0.03 (sec), leaf count = 52
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\, \left ( {a}^{2}+3\,{x}^{2} \right ) }{ \left ( a-x \right ) ^{3} \left ( x+a \right ) ^{3}}}+{\frac {{\it \_C2}\,x \left ( 3\,{a}^{2}+{x}^{2} \right ) }{ \left ( a-x \right ) ^{3} \left ( x+a \right ) ^{3}}} \right \} \]