\[ a y(x)+x^2 y''(x)+2 (x-1) y'(x)=0 \] ✓ Mathematica : cpu = 0.0669312 (sec), leaf count = 158
\[\left \{\left \{y(x)\to 2^{\frac {1}{2} \left (1-\sqrt {1-4 a}\right )} c_1 \left (\frac {1}{x}\right )^{\frac {1}{2} \left (1-\sqrt {1-4 a}\right )} \, _1F_1\left (\frac {1}{2}-\frac {1}{2} \sqrt {1-4 a};1-\sqrt {1-4 a};-\frac {2}{x}\right )+2^{\frac {1}{2} \left (\sqrt {1-4 a}+1\right )} c_2 \left (\frac {1}{x}\right )^{\frac {1}{2} \left (\sqrt {1-4 a}+1\right )} \, _1F_1\left (\frac {1}{2} \sqrt {1-4 a}+\frac {1}{2};\sqrt {1-4 a}+1;-\frac {2}{x}\right )\right \}\right \}\] ✓ Maple : cpu = 0.154 (sec), leaf count = 47
\[\left \{y \left (x \right ) = \sqrt {\frac {1}{x}}\, \left (c_{1} \BesselI \left (\frac {\sqrt {-4 a +1}}{2}, \frac {1}{x}\right )+c_{2} \BesselK \left (\frac {\sqrt {-4 a +1}}{2}, \frac {1}{x}\right )\right ) {\mathrm e}^{-\frac {1}{x}}\right \}\]