- #1

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**1. Find the impulse response h(t) given: z'(t) + 4z(t) = 4x(t)**

**2. The attempt at a solution**

I first decided to divide through by 4

(1/4)z'(t) + z(t) = x(t)

since we are looking for impulse response I made the following substitutions:

let z(t) = h(t)

let x(t) = dirac(t)

which yields

(1/4) h'(t) + h(t) = dirac(t)

at which point I don't know how to handle the problem anymore.