2.684   ODE No. 684

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

$$y^{\prime }(x)=\frac{x^2\sqrt{x^2+y(x{)}^2}+y(x)}{x}$$ ✓ Mathematica : cpu = 0.0239159 (sec), leaf count = 20

$$\left\{\{y(x)\to x\sinh \left(\frac{1}{2}(2c_1+x^2)\right)\}\right\}$$

✓ Maple : cpu = 2.541 (sec), leaf count = 30

$$\{\ln (\sqrt{{\left(y\left(x\right)\right)}^2+x^2}+y\left(x\right))-\frac{x^2}{2}-\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$