3.226   ODE No. 226

$$\boxed{{\displaystyle (4y\left(x\right)-2x-3)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+2y\left(x\right)-x-1=0}}$$

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

Mathematica: cpu = 0.016002 (sec), leaf count = 35 $$\left\{\{y(x)\to \frac{1}{8}(-W(-e^{c_1+8x-1})-1)+\frac{1}{4}(2x+3)\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 21 $$\{y\left(x\right)=\frac{x}{2}-\frac{\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}(-{\mathrm{e}}^5{\left({\mathrm{e}}^x\right)}^8\mathit{\_}\mathit{C}\mathit{1})}{8}+\frac{5}{8}\}$$