\[ y'(x) (a x+b+n)+a n y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.051276 (sec), leaf count = 38
\[\left \{\left \{y(x)\to e^{-a x} \left (c_1 U(b,b+n,a x)+c_2 L_{-b}^{b+n-1}(a x)\right )\right \}\right \}\]
✓ Maple : cpu = 0.081 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-ax}} \left ( {{\sl U}\left (b,\,b+n,\,ax\right )}{\it \_C2}+{{\sl M}\left (b,\,b+n,\,ax\right )}{\it \_C1} \right ) \right \} \]