\[ x^2 y''(x)+\left (x^2-1\right ) y'(x)-y(x)=0 \] ✓ Mathematica : cpu = 11.0251 (sec), leaf count = 39
\[\left \{\left \{y(x)\to c_2 e^{-x} \int _1^x e^{K[1]-\frac {1}{K[1]}} \, dK[1]+c_1 e^{-x}\right \}\right \}\]
✓ Maple : cpu = 0.129 (sec), leaf count = 53
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-x}}{\it HeunD} \left ( 4,3,-8,5,{\frac {x-1}{1+x}} \right ) \sqrt {x}+{\it \_C2}\,{{\rm e}^{-{x}^{-1}}}{\it HeunD} \left ( -4,3,-8,5,{\frac {x-1}{1+x}} \right ) \sqrt {x} \right \} \]