2.680   ODE No. 680

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

$$y^{\prime }(x)=\frac{\sqrt{x^2-4y(x)+2x+1}+\frac{x^2}{2}+x+\frac{1}{2}}{x+1}$$ ✓ Mathematica : cpu = 0.713266 (sec), leaf count = 89

$$\text{Solve}[\frac{1}{2}(\sqrt{x^2-4y(x)+2x+1}+\log (\sqrt{x^2-4y(x)+2x+1}+x+1)-{\tanh }^{-1}\left(\frac{2x+2}{2\sqrt{x^2-4y(x)+2x+1}}\right)+2\log (x+1))-\frac{1}{4}\log (y(x))=c_1,y(x)]$$ ✓ Maple : cpu = 0.615 (sec), leaf count = 28

$$\{\mathit{\_}\mathit{C}\mathit{1}-2\ln (1+x)-\frac{1}{2}-\sqrt{x^2+2x+1-4y\left(x\right)}=0\}$$