A continuous time LTI system is described by the differential equati dx(t) d²y(t) dt² dy(t) +4 +3y(t) = x(t) + dt dt Calculate the output y(t) for the input x(t) = rect(t).

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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A continuous time LTI system is described by the differential equation
d²y(t)
dy(t)
dx(t)
dt²
dt
dt
Calculate the output y(t) for the input x(t) = rect(t).
+4
+ 3y(t) = x(t) +
(12
Transcribed Image Text:A continuous time LTI system is described by the differential equation d²y(t) dy(t) dx(t) dt² dt dt Calculate the output y(t) for the input x(t) = rect(t). +4 + 3y(t) = x(t) + (12
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