Solve the following differential equation: `(dy)/(dx)+2y=e^(3x)`

Explanation

To solve the differential equation \(\frac{dy}{dx} + 2y = e^{3x}\), we can 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 \(P(x) = 2\) and \(Q(x) = e^{3x}\).
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