3.192   ODE No. 192

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

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

Mathematica: cpu = 0.027504 (sec), leaf count = 57 $$\left\{\{y(x)\to \frac{c_1}{\sqrt{a^2+x^2}+x}+\frac{a^2\log (\sqrt{a^2+x^2}+x)}{\sqrt{a^2+x^2}+x}\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 36 $$\{y\left(x\right)=1(a^2\ln (x+\sqrt{a^2+x^2})+\mathit{\_}\mathit{C}\mathit{1}){(x+\sqrt{a^2+x^2})}^{-1}\}$$