2.871   ODE No. 871

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

$$y^{\prime }(x)=\frac{2xy(x{)}^2+y(x{)}^2+4xy(x)\log (2x+1)+2y(x)\log (2x+1)+2x{\log }^2(2x+1)+{\log }^2(2x+1)-2}{2x+1}$$ ✓ Mathematica : cpu = 0.228767 (sec), leaf count = 22

$$\left\{\{y(x)\to -\log (2x+1)+\frac{1}{-x+c_1}\}\right\}$$ ✓ Maple : cpu = 0.115 (sec), leaf count = 26

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