3.114   ODE No. 114

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

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

Mathematica: cpu = 0.019502 (sec), leaf count = 12 $$\left\{\{y(x)\to x\sinh (c_1+x)\}\right\}$$

Maple: cpu = 0.936 (sec), leaf count = 28 $$\{\ln (\sqrt{{\left(y\left(x\right)\right)}^2+x^2}+y\left(x\right))-x-\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$