(c)A process is modelled by the differential equation,d²ydr?dydu+10-+16y=4u+dtdtwith initial conditions, y(0) =1, ý(0) =-1 and u(0) =-1.(i)Determine the zero-input response.The input u(t) = 1 for t20* is applied to this process (with the initialconditions as defined above). Determine the resulting time response.(ii)

Given Differential equation is: d2ytdt2+10dytdt+16yt=dudt+4u................1Let input xt=dudt+4u…

Answered: A process is modelled by the…

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A process is modelled by the differential equation,

Introductory Circuit Analysis (13th Edition)

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Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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(c)
A process is modelled by the differential equation,
d²y
dr?
dy
du
+10-
+16y=4u+
dt
dt
with initial conditions, y(0) =1, ý(0) =-1 and u(0) =-1.
(i)
Determine the zero-input response.
The input u(t) = 1 for t20* is applied to this process (with the initial
conditions as defined above). Determine the resulting time response.
(ii)

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