\[ a x^3 y(x)+\left (x^2-1\right ) x y''(x)+y'(x)=0 \] ✓ Mathematica : cpu = 0.0186166 (sec), leaf count = 44
\[\left \{\left \{y(x)\to c_1 \cos \left (\sqrt {a} \sqrt {x^2-1}\right )+c_2 \sin \left (\sqrt {a} \sqrt {x^2-1}\right )\right \}\right \}\] ✓ Maple : cpu = 0.018 (sec), leaf count = 45
\[y \relax (x ) = c_{1} \sin \left (\frac {\left (x -1\right ) \left (1+x \right ) \sqrt {a}}{\sqrt {x^{2}-1}}\right )+c_{2} \cos \left (\frac {\left (x -1\right ) \left (1+x \right ) \sqrt {a}}{\sqrt {x^{2}-1}}\right )\]