\[ a y(x)+x^2 y''(x)+2 (x-1) y'(x)=0 \] ✓ Mathematica : cpu = 0.0715859 (sec), leaf count = 145
\[\left \{\left \{y(x)\to 2^{\frac {1}{2}-\frac {1}{2} \sqrt {1-4 a}} \left (\frac {1}{x}\right )^{\frac {1}{2}-\frac {1}{2} \sqrt {1-4 a}} \left (2^{\sqrt {1-4 a}} c_2 \left (\frac {1}{x}\right )^{\sqrt {1-4 a}} \, _1F_1\left (\frac {1}{2} \left (\sqrt {1-4 a}+1\right );\sqrt {1-4 a}+1;-\frac {2}{x}\right )+c_1 \, _1F_1\left (\frac {1}{2}-\frac {1}{2} \sqrt {1-4 a};1-\sqrt {1-4 a};-\frac {2}{x}\right )\right )\right \}\right \}\]
✓ Maple : cpu = 0.037 (sec), leaf count = 47
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{x}^{-1}}}\sqrt {{x}^{-1}} \left ( {{\sl K}_{{\frac {1}{2}\sqrt {1-4\,a}}}\left ({x}^{-1}\right )}{\it \_C2}+{{\sl I}_{{\frac {1}{2}\sqrt {1-4\,a}}}\left ({x}^{-1}\right )}{\it \_C1} \right ) \right \} \]