2.1139   ODE No. 1139

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

$$-(a+x)y(x)+8y^{\prime }(x)+16x{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0103289 (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 = 0.37 (sec), leaf count = 37

$$\{y\left(x\right)=\sqrt{x}{\mathrm{e}}^{-\frac{x}{4}}(\mathit{U}(\frac{a}{8}+\frac{3}{4},\frac{3}{2},\frac{x}{2})\mathit{\_}\mathit{C}\mathit{2}+\mathit{M}(\frac{a}{8}+\frac{3}{4},\frac{3}{2},\frac{x}{2})\mathit{\_}\mathit{C}\mathit{1})\}$$