2.224   ODE No. 224

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

$$(2y(x)-6x)y^{\prime }(x)-y(x)+3x+2=0$$ ✓ Mathematica : cpu = 0.0183098 (sec), leaf count = 29

$$\left\{\{y(x)\to 3x-\frac{2}{5}(W(-e^{c_1+\frac{25x}{4}-1})+1)\}\right\}$$

✓ Maple : cpu = 0.052 (sec), leaf count = 35

$$\{y\left(x\right)=\frac{1}{5}{\mathrm{e}}^{-\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}(-\frac{{\mathrm{e}}^{-1}}{2}{\mathrm{e}}^{\frac{25x}{4}}{\mathrm{e}}^{-\frac{25\mathit{\_}\mathit{C}\mathit{1}}{4}})+\frac{25x}{4}-1-\frac{25\mathit{\_}\mathit{C}\mathit{1}}{4}}+3x-\frac{2}{5}\}$$