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A system is described by the following differential equation, where $u(t)$ is the input to the system and $y(t)$ is the output of the system.

$$y(t) + 5y(t) = u(t)$$

When $y(0) = 1$ and $u(t)$ is a unit step function, $y(t)$ is

  1. $0.2 + 0.8e^{-5t}$
  2. $0.2 - 0.2e^{-5t}$
  3. $0.8 + 0.2e^{-5t}$
  4. $0.8 - 0.8e^{-5t}$
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