\[ \left (x^2-1\right ) y''(x)+\left (x^2+1\right ) y(x)+4 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0226523 (sec), leaf count = 45
\[\left \{\left \{y(x)\to \frac {c_1 e^{-i x}}{x^2-1}-\frac {i c_2 e^{i x}}{2 \left (x^2-1\right )}\right \}\right \}\] ✓ Maple : cpu = 0.036 (sec), leaf count = 21
\[y \relax (x ) = \frac {\sin \relax (x ) c_{1}+c_{2} \cos \relax (x )}{x^{2}-1}\]