\[ \boxed { 4\,x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +4\,m{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( x-2\,m-4\,n \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.030504 (sec), leaf count = 38 \[ \left \{\left \{y(x)\to c_1 e^{-x/2} U(-n,m,x)+c_2 e^{-x/2} L_n^{m-1}(x)\right \}\right \} \]
Maple: cpu = 0.062 (sec), leaf count = 29 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-{\frac {x}{2}}}}{ {\sl M}\left (-n,\,m,\,x\right )}+{\it \_C2}\,{{\rm e}^{-{\frac {x}{2}}} }{{\sl U}\left (-n,\,m,\,x\right )} \right \} \]