\[ x^2 y''(x)+\left (x^2-1\right ) y'(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.0887329 (sec), leaf count = 40
\[\left \{\left \{y(x)\to c_2 e^{-x} \int _1^xe^{K[1]-\frac {1}{K[1]}}dK[1]+c_1 e^{-x}\right \}\right \}\] ✓ Maple : cpu = 0.22 (sec), leaf count = 51
\[\left \{y \left (x \right ) = \left (c_{1} \mathit {HD}\left (4, 3, -8, 5, \frac {x -1}{x +1}\right ) {\mathrm e}^{-x}+c_{2} \mathit {HD}\left (-4, 3, -8, 5, \frac {x -1}{x +1}\right ) {\mathrm e}^{-\frac {1}{x}}\right ) \sqrt {x}\right \}\]