4.139   ODE No. 1139

$$\boxed{{\displaystyle 16x\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+8\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-(x+a)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.012502 (sec), leaf count = 74 $$\left\{\{y(x)\to c_1{e}^{\frac{1}{4}(2\log (x)-x)}U(\frac{a+6}{8},\frac{3}{2},\frac{x}{2})+c_2{e}^{\frac{1}{4}(2\log (x)-x)}{L}_{\frac{1}{8}(-a-6)}^{\frac{1}{2}}\left(\frac{x}{2}\right)\}\right\}$$

Maple: cpu = 0.063 (sec), leaf count = 43 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sqrt{x}{\mathrm{e}}^{-\frac{x}{4}}\mathit{M}(\frac{a}{8}+\frac{3}{4},\frac{3}{2},\frac{x}{2})+\mathit{\_}\mathit{C}\mathit{2}\sqrt{x}{\mathrm{e}}^{-\frac{x}{4}}\mathit{U}(\frac{a}{8}+\frac{3}{4},\frac{3}{2},\frac{x}{2})\}$$