\[ \left (x^2-1\right ) y''(x)+\left (x^2+1\right ) y(x)+4 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0366797 (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 = 0.038 (sec), leaf count = 21
\[\left \{y \left (x \right ) = \frac {c_{1} \sin \left (x \right )+c_{2} \cos \left (x \right )}{x^{2}-1}\right \}\]