4.101   ODE No. 1101

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

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

Mathematica: cpu = 0.025503 (sec), leaf count = 51 $$\left\{\{y(x)\to \frac{c_1{e}^{-\sqrt{-a}x}}{x}+\frac{c_2{e}^{\sqrt{-a}x}}{2\sqrt{-a}x}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 31 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{x}\sinh \left(\sqrt{-a}x\right)+\frac{\mathit{\_}\mathit{C}\mathit{2}}{x}\cosh \left(\sqrt{-a}x\right)\}$$