2.1096   ODE No. 1096

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

$$(a+x)y(x)+x{y}^{″}(x)+y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0157813 (sec), leaf count = 61

$$\left\{\{y(x)\to c_1{e}^{-ix}U(\frac{1}{2}i(a-i),1,2ix)+c_2{e}^{-ix}{L}_{-\frac{1}{2}i(a-i)}(2ix)\}\right\}$$

✓ Maple : cpu = 0.067 (sec), leaf count = 43

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