\[ (a+x) y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0970979 (sec), leaf count = 53
\[\left \{\left \{y(x)\to e^{-i x} x \left (c_2 \, _1F_1\left (\frac {i a}{2}+1;2;2 i x\right )+c_1 U\left (\frac {i a}{2}+1,2,2 i x\right )\right )\right \}\right \}\]
✓ Maple : cpu = 0.089 (sec), leaf count = 29
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl M}_{-{\frac {i}{2}}a,\,{\frac {1}{2}}}\left (2\,ix\right )}+{\it \_C2}\,{{\sl W}_{-{\frac {i}{2}}a,\,{\frac {1}{2}}}\left (2\,ix\right )} \right \} \]