\[ y(x) \left (2 x (2 l-m+1)-m^2-x^2+1\right )+4 x^2 y''(x)+4 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0252521 (sec), leaf count = 120
\[\left \{\left \{y(x)\to c_1 e^{\frac {1}{2} \left (\sqrt {m^2-1} \log (x)-x\right )} U\left (\frac {1}{2} \left (-2 l+m+\sqrt {m^2-1}\right ),\sqrt {m^2-1}+1,x\right )+c_2 e^{\frac {1}{2} \left (\sqrt {m^2-1} \log (x)-x\right )} L_{\frac {1}{2} \left (2 l-m-\sqrt {m^2-1}\right )}^{\sqrt {m^2-1}}(x)\right \}\right \}\] ✓ Maple : cpu = 0.139 (sec), leaf count = 53
\[y \relax (x ) = \frac {c_{2} \WhittakerW \left (l -\frac {m}{2}+\frac {1}{2}, \frac {\sqrt {m -1}\, \sqrt {m +1}}{2}, x\right )+c_{1} \WhittakerM \left (l -\frac {m}{2}+\frac {1}{2}, \frac {\sqrt {m -1}\, \sqrt {m +1}}{2}, x\right )}{\sqrt {x}}\]