2.1114   ODE No. 1114

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

$$x{y}^{″}(x)-2(x-1)y^{\prime }(x)-y(x)=0$$ ✓ Mathematica : cpu = 0.0419211 (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 = 0.047 (sec), leaf count = 35

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^x({\mathit{I}}_0\left(x\right)-{\mathit{I}}_1\left(x\right))+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^x(-{\mathit{K}}_0(-x)+{\mathit{K}}_1(-x))\}$$