3.221   ODE No. 221

$$\boxed{{\displaystyle (2y\left(x\right)+x+1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-2y\left(x\right)-x+1=0}}$$

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

Mathematica: cpu = 0.017502 (sec), leaf count = 35 $$\left\{\{y(x)\to \frac{2}{3}(W(-e^{c_1+\frac{9x}{4}-1})+1)+\frac{1}{2}(-x-1)\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 21 $$\{y\left(x\right)=-\frac{x}{2}+\frac{2}{3}\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}\left(\frac{{\mathrm{e}}^{-\frac{1}{4}}\mathit{\_}\mathit{C}\mathit{1}}{4}{\mathrm{e}}^{\frac{9x}{4}}\right)+\frac{1}{6}\}$$