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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. $\frac{dy}{dx}+ e^{-y}= 0$        

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