5. A continuous-time system is given by the input/output differential equation d²y(t) dy(t) dx(t) +2- + 3y(t) = + x(t − 2) - dt² dt dt (a) Compute the transfer function H(s) of the system. (b) Compute the impulse response h(t). (c) Compute the step response.

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5. A continuous-time system is given by the input/output differential equation
d²y(t)
dy(t)
dx(t)
+2-
+ 3y(t) =
+ x(t − 2)
-
dt²
dt
dt
(a) Compute the transfer function H(s) of the system.
(b) Compute the impulse response h(t).
(c) Compute the step response.
Transcribed Image Text:5. A continuous-time system is given by the input/output differential equation d²y(t) dy(t) dx(t) +2- + 3y(t) = + x(t − 2) - dt² dt dt (a) Compute the transfer function H(s) of the system. (b) Compute the impulse response h(t). (c) Compute the step response.
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