\[ y'(x) (a x+b+n)+a n y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0632822 (sec), leaf count = 43
\[\left \{\left \{y(x)\to c_1 e^{-a x} U(b,b+n,a x)+c_2 e^{-a x} L_{-b}^{b+n-1}(a x)\right \}\right \}\] ✓ Maple : cpu = 0.156 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-ax}} \left ( {{\sl M}\left (b,\,b+n,\,ax\right )}{\it \_C1}+{{\sl U}\left (b,\,b+n,\,ax\right )}{\it \_C2} \right ) \right \} \]