2.780   ODE No. 780

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

$$y^{\prime }(x)=\frac{x\sqrt{x^2+y(x{)}^2}+xy(x)+y(x)}{x(x+1)}$$ ✓ Mathematica : cpu = 0.0259325 (sec), leaf count = 15

$$\left\{\{y(x)\to x\sinh (c_1+\log (x+1))\}\right\}$$

✓ Maple : cpu = 0.379 (sec), leaf count = 27

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