3.684   ODE No. 684

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

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

Mathematica: cpu = 0.027003 (sec), leaf count = 20 $$\left\{\{y(x)\to x\sinh \left(\frac{1}{2}(2c_1+x^2)\right)\}\right\}$$

Maple: cpu = 0.920 (sec), leaf count = 30 $$\{\ln (\sqrt{{\left(y\left(x\right)\right)}^2+x^2}+y\left(x\right))-\frac{x^2}{2}-\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$