2.1349   ODE No. 1349

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

$$y^{″}(x)=-\frac{(x^2+1)y^{\prime }(x)}{x^3}-\frac{y(x)}{x^4}$$ ✓ Mathematica : cpu = 0.103204 (sec), leaf count = 76

$$\left\{\{y(x)\to c_2{G}_{1,2}^{2,0}(-\frac{1}{2x^2}|\begin{array}{c}\frac{3}{2}\\ 0,0\end{array})+c_1{e}^{\frac{1}{4x^2}}((1-\frac{1}{2x^2})I_0\left(\frac{1}{4x^2}\right)+\frac{I_1\left(\frac{1}{4x^2}\right)}{2x^2})\}\right\}$$ ✓ Maple : cpu = 0.219 (sec), leaf count = 85

$$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{x^2}{\mathrm{e}}^{\frac{1}{4x^2}}(2{\mathit{I}}_0\left(1/4x^{-2}\right)x^2-{\mathit{I}}_0\left(\frac{1}{4x^2}\right)+{\mathit{I}}_1\left(\frac{1}{4x^2}\right))+\frac{\mathit{\_}\mathit{C}\mathit{2}}{x^2}{\mathrm{e}}^{\frac{1}{4x^2}}(2{\mathit{K}}_0(-1/4x^{-2})x^2-{\mathit{K}}_0(-\frac{1}{4x^2})+{\mathit{K}}_1(-\frac{1}{4x^2}))\}$$