Solve the differential equation: `(dy)/(dx)+y=e^(-2x)`

Explanation

To solve the differential equation \(\frac{dy}{dx} + y = e^{-2x}\), we will follow these steps:

### Step 1: Identify the form of the differential equation
The given equation is in the standard form of a first-order linear differential equation:
\[ \frac{dy}{dx} + p(x)y = q(x) \]
where \(p(x) = 1\) and \(q(x) = e^{-2x}\).
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