2.1349   ODE No. 1349

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

$$y^{″}(x)=-\frac{y(x)}{x^4}-\frac{(x^2+1)y^{\prime }(x)}{x^3}$$ ✓ Mathematica : cpu = 0.119534 (sec), leaf count = 73

$$\left\{\{y(x)\to c_2{G}_{1,2}^{2,0}(-\frac{1}{2x^2}|\begin{array}{c}\frac{3}{2}\\ 0,0\end{array})+\frac{c_1{e}^{\frac{1}{4x^2}}((2x^2-1)I_0\left(\frac{1}{4x^2}\right)+I_1\left(\frac{1}{4x^2}\right))}{2x^2}\}\right\}$$

✓ Maple : cpu = 0.08 (sec), leaf count = 85

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