\[ \left (x^2+1\right ) y''(x)+x y'(x)+2 y(x)=0 \] ✓ Mathematica : cpu = 0.01394 (sec), leaf count = 30
\[\left \{\left \{y(x)\to c_1 \cos \left (\sqrt {2} \sinh ^{-1}(x)\right )+c_2 \sin \left (\sqrt {2} \sinh ^{-1}(x)\right )\right \}\right \}\] ✓ Maple : cpu = 0.016 (sec), leaf count = 23
\[y \relax (x ) = c_{1} \sin \left (\sqrt {2}\, \arcsinh \relax (x )\right )+c_{2} \cos \left (\sqrt {2}\, \arcsinh \relax (x )\right )\]