5.42   ODE No. 1490

$$\boxed{{\displaystyle x^2\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-x\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+(x^2+1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.018502 (sec), leaf count = 33 $$\left\{\{y(x)\to \frac{1}{2}{c}_1{x}^2{}_0{\tilde{F}}_1(;2;-\frac{x^2}{4})+c_{2}x{Y}_1(x)+c_3\}\right\}$$

Maple: cpu = 0.063 (sec), leaf count = 18 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}x{\mathit{J}}_1\left(x\right)+\mathit{\_}\mathit{C}\mathit{3}x{\mathit{Y}}_1\left(x\right)\}$$