Consider a dynamic system described by the following transfer function. Find a differential equation describing a dynamic relation between the input u(t) and the output y(t) of this system. You may ignore initial conditions. * (s + 3) G(s) = s² + 6s + 5 O exp(-2*t)/2 + exp(-5*t)/2

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Consider a dynamic system described by the following transfer function. Find a differential equation describing a dynamic relation between the input  u(t) and the output y(t) of this system. You may ignore initial conditions.

Consider a dynamic system described by the following transfer function. Find a differential
equation describing a dynamic relation between the input u(t) and the output y(t) of this
system. You may ignore initial conditions. *
(s + 3)
52+ 6s + 5
G(s)
O exp(-2*t)/2 + exp(-5*t)/2
O exp(t)/2 + exp(5*t)/2
exp(-t) + exp(-5*t)
O exp(-t)/2 + exp(-5*t)/2
Transcribed Image Text:Consider a dynamic system described by the following transfer function. Find a differential equation describing a dynamic relation between the input u(t) and the output y(t) of this system. You may ignore initial conditions. * (s + 3) 52+ 6s + 5 G(s) O exp(-2*t)/2 + exp(-5*t)/2 O exp(t)/2 + exp(5*t)/2 exp(-t) + exp(-5*t) O exp(-t)/2 + exp(-5*t)/2
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