2.806   ODE No. 806

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

$$y^{\prime }(x)=\frac{-\frac{1}{2}x\sin (2y(x))-\frac{1}{2}\sin (2y(x))+\frac{1}{2}x\cos (2y(x))+\frac{x}{2}}{x(x+1)}$$ ✓ Mathematica : cpu = 0.257519 (sec), leaf count = 22

$$\left\{\{y(x)\to {\tan }^{-1}\left(\frac{-c_1+x-\log (x+1)}{x}\right)\}\right\}$$

✓ Maple : cpu = 0.674 (sec), leaf count = 22

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