Solve the following differential equation: `4(dy)/(dx)+8y=5\ e^(-3x)`

Explanation

To solve the differential equation \( 4\frac{dy}{dx} + 8y = 5 e^{-3x} \), we will follow these steps:

### Step 1: Simplify the Equation
First, we divide the entire equation by 4 to simplify it:

\[ \frac{dy}{dx} + 2y = \frac{5}{4} e^{-3x} \]
...