3.344   ODE No. 344

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

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

Mathematica: cpu = 0.018502 (sec), leaf count = 23 $$\left\{\{y(x)\to -\frac{W(-2c_1{e}^{-2x})}{2c_1}\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 19 $$\{y\left(x\right)={\mathrm{e}}^{-\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}(-2{\mathrm{e}}^{-2x}\mathit{\_}\mathit{C}\mathit{1})-2x}\}$$