2.222   ODE No. 222

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

$$(2y(x)+x+7)y^{\prime }(x)-y(x)+2x+4=0$$ ✓ Mathematica : cpu = 0.0786614 (sec), leaf count = 65

$$\text{Solve}[5c_1+2\log \left(\frac{4(x^2+y(x{)}^2+4y(x)+6x+13)}{5(x+3{)}^2}\right)+2{\tan }^{-1}\left(\frac{y(x)-2(x+2)}{2y(x)+x+7}\right)+4\log (x+3)=0,y(x)]$$

✓ Maple : cpu = 0.06 (sec), leaf count = 32

$$\{y\left(x\right)=-2+(-x-3)\tan \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\ln \left({(\cos \left(\mathit{\_}\mathit{Z}\right))}^{-2}\right)-\mathit{\_}\mathit{Z}+2\ln (x+3)+2\mathit{\_}\mathit{C}\mathit{1})\right)\}$$