\[ x^2 y''(x)+\left (x^2-1\right ) y'(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.0742317 (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 = 0.126 (sec), leaf count = 51
\[y \relax (x ) = \sqrt {x}\, \left ({\mathrm e}^{-x} \mathit {HD}\left (4, 3, -8, 5, \frac {x -1}{1+x}\right ) c_{1}+{\mathrm e}^{-\frac {1}{x}} \mathit {HD}\left (-4, 3, -8, 5, \frac {x -1}{1+x}\right ) c_{2}\right )\]