2.805   ODE No. 805

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

$$y^{\prime }(x)=\frac{x^4\sqrt{x^2+y(x{)}^2}+xy(x)+y(x)}{x(x+1)}$$ ✓ Mathematica : cpu = 0.559105 (sec), leaf count = 35

$$\left\{\{y(x)\to x\sinh (c_1+\frac{x^3}{3}-\frac{x^2}{2}+x-\log (x+1)+\frac{11}{6})\}\right\}$$

✓ Maple : cpu = 0.671 (sec), leaf count = 42

$$\{\ln (y\left(x\right)+\sqrt{{\left(y\left(x\right)\right)}^2+x^2})-\frac{x^3}{3}+\frac{x^2}{2}-x-\ln \left(x\right)+\ln (1+x)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$