2.603   ODE No. 603

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

$$y^{\prime }(x)=\frac{2xF(y(x)+\log (2x+1))+F(y(x)+\log (2x+1))-2}{2x+1}$$ ✓ Mathematica : cpu = 16.3718 (sec), leaf count = 114

$$\text{Solve}[{\int }_1^{y(x)}-\frac{F(K[2]+\log (2x+1)){\int }_1^x-\frac{2F^{\prime }(K[2]+\log (2K[1]+1))}{(2K[1]+1)F(K[2]+\log (2K[1]+1){)}^2}dK[1]-1}{F(K[2]+\log (2x+1))}dK[2]+{\int }_1^x(\frac{2}{(2K[1]+1)F(\log (2K[1]+1)+y(x))}-1)dK[1]=c_1,y(x)]$$

✓ Maple : cpu = 0.151 (sec), leaf count = 27

$$\{y\left(x\right)=-\ln (2x+1)+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-x+{\int }^{\mathit{\_}\mathit{Z}}{\left(F\left(\mathit{\_}\mathit{a}\right)\right)}^{-1}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})\}$$