\[ (-a-x) y(x)+x^2 y''(x)-\left (x^2-2 x\right ) y'(x)=0 \] ✓ Mathematica : cpu = 0.0152671 (sec), leaf count = 78
\[\left \{\left \{y(x)\to c_1 e^{\frac {1}{2} (x-\log (x))} J_{\frac {1}{2} \sqrt {4 a+1}}\left (-\frac {i x}{2}\right )+c_2 e^{\frac {1}{2} (x-\log (x))} Y_{\frac {1}{2} \sqrt {4 a+1}}\left (-\frac {i x}{2}\right )\right \}\right \}\] ✓ Maple : cpu = 0.132 (sec), leaf count = 43
\[\left \{y \left (x \right ) = \frac {\left (c_{1} \BesselI \left (\frac {\sqrt {4 a +1}}{2}, \frac {x}{2}\right )+c_{2} \BesselK \left (\frac {\sqrt {4 a +1}}{2}, \frac {x}{2}\right )\right ) {\mathrm e}^{\frac {x}{2}}}{\sqrt {x}}\right \}\]