The differential equation between input r(t) and output y(t) of a linear time invariant system is given d'y(1), dy(t) dr(t) +4y(t)%D dt +3r(t). Find transfer function Y(s)/R(s). Show poles and zeros on the dt as di? s-plane. Determine unit impulse and unit step responses of the system. Find Y(s) for the following control system RIs) + G(s) Hs)

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The differential equation between input r(t) and output y(t) of a linear time invariant system is given
d²y1) , 5 dy) +4 y(1) =
arO + 3r(1). Find transfer function Y(s)/R(s). Show poles and zeros on the
dt
as
dr?
s-plane. Determine unit impulse and unit step responses of the system.
dt
Find Y(s) for the following control system
RIs)
GG)
HIs) t
Transcribed Image Text:The differential equation between input r(t) and output y(t) of a linear time invariant system is given d²y1) , 5 dy) +4 y(1) = arO + 3r(1). Find transfer function Y(s)/R(s). Show poles and zeros on the dt as dr? s-plane. Determine unit impulse and unit step responses of the system. dt Find Y(s) for the following control system RIs) GG) HIs) t
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