3.222   ODE No. 222

$$\boxed{{\displaystyle (2y\left(x\right)+x+7)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-y\left(x\right)+2x+4=0}}$$

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

Mathematica: cpu = 0.056507 (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 = 0.047 (sec), leaf count = 31 $$\{y\left(x\right)=-2-\tan \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\mathit{\_}\mathit{Z}+\ln \left({(\cos \left(\mathit{\_}\mathit{Z}\right))}^{-2}\right)+2\ln (x+3)+2\mathit{\_}\mathit{C}\mathit{1})\right)(x+3)\}$$