4.305   ODE No. 1305

$$\boxed{{\displaystyle x^3\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+2x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.071009 (sec), leaf count = 47 $$\left\{\{y(x)\to c_2{G}_{1,2}^{2,0}(-\frac{2}{x}|\begin{array}{c}\frac{1}{2}\\ -1,0\end{array})+c_1{e}^{\frac{1}{x}}(I_0\left(\frac{1}{x}\right)-I_1\left(\frac{1}{x}\right))\}\right\}$$

Maple: cpu = 0.046 (sec), leaf count = 47 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{x^{-1}}({\mathit{I}}_0\left(x^{-1}\right)-{\mathit{I}}_1\left(x^{-1}\right))+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{x^{-1}}({\mathit{K}}_0(-x^{-1})-{\mathit{K}}_1(-x^{-1}))\}$$