2.222   ODE No. 222

\[ (2 y(x)+x+7) y'(x)-y(x)+2 x+4=0 \] Mathematica : cpu = 0.0834344 (sec), leaf count = 65


\[\text {Solve}\left [2 \log \left (\frac {4 \left (x^2+y(x)^2+4 y(x)+6 x+13\right )}{5 (x+3)^2}\right )+2 \tan ^{-1}\left (\frac {y(x)-2 (x+2)}{2 y(x)+x+7}\right )+4 \log (x+3)+5 c_1=0,y(x)\right ]\] Maple : cpu = 0.096 (sec), leaf count = 32


\[y \relax (x ) = -2+\left (-x -3\right ) \tan \left (\RootOf \left (\ln \left (\frac {1}{\cos \left (\textit {\_Z} \right )^{2}}\right )-\textit {\_Z} +2 \ln \left (x +3\right )+2 c_{1}\right )\right )\]