4.96   ODE No. 1096

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

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

Mathematica: cpu = 0.012002 (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 = 0.109 (sec), leaf count = 43 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-ix}\mathit{M}(\frac{1}{2}+\frac{i}{2}a,1,2ix)+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-ix}\mathit{U}(\frac{1}{2}+\frac{i}{2}a,1,2ix)\}$$