2.806   ODE No. 806

\[ y'(x)=\frac {-\frac {1}{2} x \sin (2 y(x))-\frac {1}{2} \sin (2 y(x))+\frac {1}{2} x \cos (2 y(x))+\frac {x}{2}}{x (x+1)} \] Mathematica : cpu = 0.426154 (sec), leaf count = 22


\[\left \{\left \{y(x)\to \tan ^{-1}\left (\frac {x-\log (x+1)-c_1}{x}\right )\right \}\right \}\] Maple : cpu = 0.692 (sec), leaf count = 22


\[y \relax (x ) = -\arctan \left (\frac {\ln \left (1+x \right )-x -c_{1}}{x}\right )\]