The differential equation model for two first-order systems in series is x(t) + 4x{t) +

Chapter 0, Problem 10

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The differential equation model for two first-order systems in series is x(t) + 4x{t) + 3x(t) = u(t), where u(t) is the input of the first system and x(t) is the output of the second system. The response x(t) of the system to a unit impulse (/) is: a. x(t) = e~' - 2e~2 ' b. x(t) = -e~ , X l -t l c. x(t) = e ' - e ,-3/ 2 2 d. x(t) = e~' - e~ 3 '

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