\[ \boxed { 4\,{x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) - \left ( -4\,kx+4\,{m}^{2}+{x}^{2}-1 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.017002 (sec), leaf count = 20 \[ \left \{\left \{y(x)\to c_1 M_{k,m}(x)+c_2 W_{k,m}(x)\right \}\right \} \]
Maple: cpu = 0.062 (sec), leaf count = 17 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl M}_{k,\,m}\left (x \right )}+{\it \_C2}\,{{\sl W}_{k,\,m}\left (x\right )} \right \} \]