\[ a y(x)+x^2 y''(x)+2 (x-1) y'(x)=0 \] ✓ Mathematica : cpu = 0.0598896 (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 = 0.034 (sec), leaf count = 47
\[y \relax (x ) = {\mathrm e}^{-\frac {1}{x}} \sqrt {\frac {1}{x}}\, \left (\BesselK \left (\frac {\sqrt {1-4 a}}{2}, \frac {1}{x}\right ) c_{2}+\BesselI \left (\frac {\sqrt {1-4 a}}{2}, \frac {1}{x}\right ) c_{1}\right )\]