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Which $ONE$ of the following is a linear non-homogeneous differential equation, where $x$ and $y$ are the independent and dependent variables respectively?

1. $\frac{dy}{dx}+xy= e^{-x}$
2. $\frac{dy}{dx}+xy= 0$
3. $\frac{dy}{dx}+xy= e^{-y}$
4. $\frac{dy}{dx}+ e^{-y}= 0$