4.273   ODE No. 1273

$$\boxed{{\displaystyle 4x^2\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-(-4kx+4m^2+x^2-1)y\left(x\right)=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0.017002 (sec), leaf count = 20 $$\left\{\{y(x)\to c_1{M}_{k,m}(x)+c_2{W}_{k,m}(x)\}\right\}$$

Maple: cpu = 0.062 (sec), leaf count = 17 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathit{M}}_{k,m}\left(x\right)+\mathit{\_}\mathit{C}\mathit{2}{\mathit{W}}_{k,m}\left(x\right)\}$$