4.114   ODE No. 1114

$$\boxed{{\displaystyle x\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-2(x-1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.049506 (sec), leaf count = 39 $$\left\{\{y(x)\to c_2{G}_{1,2}^{2,0}(-2x|\begin{array}{c}\frac{1}{2}\\ -1,0\end{array})+c_1{e}^x(I_0(x)-I_1(x))\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 35 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^x({\mathit{I}}_0\left(x\right)-{\mathit{I}}_1\left(x\right))+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^x(-{\mathit{K}}_0(-x)+{\mathit{K}}_1(-x))\}$$