4.137   ODE No. 1137

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

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

Mathematica: cpu = 0.095512 (sec), leaf count = 74 $$\left\{\{y(x)\to \frac{1}{4}{c}_2{e}^{-x/2}x{}_1{F}_1(\frac{1}{128}(-32(l+(2-4i))-128i)+1;2;x)+\frac{1}{4}{c}_1{e}^{-x/2}xU(\frac{1}{128}(-32(l+(2-4i))-128i)+1,2,x)\}\right\}$$

Maple: cpu = 0.109 (sec), leaf count = 25 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathit{M}}_{\frac{l}{4}+\frac{1}{2},\frac{1}{2}}\left(x\right)+\mathit{\_}\mathit{C}\mathit{2}{\mathit{W}}_{\frac{l}{4}+\frac{1}{2},\frac{1}{2}}\left(x\right)\}$$