\[ y'(x) (a x+b+n)+a n y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0656341 (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 = 0.082 (sec), leaf count = 35
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-ax}}{{\sl M}\left (b,\,b+n,\,ax\right )}+{\it \_C2}\,{{\rm e}^{-ax}}{{\sl U}\left (b,\,b+n,\,ax\right )} \right \} \]