\[ \boxed { 4\,{x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +4\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( -{x}^{2}+2\, \left ( 1-m+2\,l \right ) x-{m}^{2}+1 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.037005 (sec), leaf count = 120 \[ \left \{\left \{y(x)\to c_1 e^{\frac {1}{2} \left (\sqrt {m^2-1} \log (x)-x\right )} U\left (\frac {1}{2} \left (-2 l+m+\sqrt {m^2-1}\right ),\sqrt {m^2-1}+1,x\right )+c_2 e^{\frac {1}{2} \left (\sqrt {m^2-1} \log (x)-x\right )} L_{\frac {1}{2} \left (2 l-\sqrt {m^2-1}-m\right )}^{\sqrt {m^2-1}}(x)\right \}\right \} \]
Maple: cpu = 0.110 (sec), leaf count = 55 \[ \left \{ y \left ( x \right ) ={{\it \_C1}{{\sl M}_{l-{\frac {m}{2}}+{ \frac {1}{2}},\,{\frac {1}{2}\sqrt {m-1}\sqrt {m+1}}}\left (x\right )}{ \frac {1}{\sqrt {x}}}}+{{\it \_C2}{{\sl W}_{l-{\frac {m}{2}}+{\frac {1 }{2}},\,{\frac {1}{2}\sqrt {m-1}\sqrt {m+1}}}\left (x\right )}{\frac {1} {\sqrt {x}}}} \right \} \]