3.148   ODE No. 148

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

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

Mathematica: cpu = 0.012002 (sec), leaf count = 30 $$\left\{\{y(x)\to \frac{c_1}{\sqrt{x^2+1}}+\frac{{\sinh }^{-1}(x)}{\sqrt{x^2+1}}\}\right\}$$

Maple: cpu = 0.0 (sec), leaf count = 16 $$\{y\left(x\right)=(\mathit{A}\mathit{r}\mathit{c}\mathit{s}\mathit{i}\mathit{n}\mathit{h}\left(x\right)+\mathit{\_}\mathit{C}\mathit{1})\frac{1}{\sqrt{x^2+1}}\}$$