3.75   ODE No. 75

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

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

Mathematica: cpu = 0.191024 (sec), leaf count = 20 $$\left\{\{y(x)\to \log (1-e^{c_1-e^x})\}\right\}$$

Maple: cpu = 0.109 (sec), leaf count = 20 $$\{y\left(x\right)=-{\mathrm{e}}^x+\ln (-1+{\mathrm{e}}^{{\mathrm{e}}^x+\mathit{\_}\mathit{C}\mathit{1}})-\mathit{\_}\mathit{C}\mathit{1}\}$$