Q3 A dynamic system is represented by the differential equation, y" – 6y' + 15y = U (t), and y(0) = -1, y'(0) = -4 Where U(t) is the input signal and Y(t) is the output. If U(t)= 2 sin(3t) determine the output y(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 6.21MCQ
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Q3
A dynamic system is represented by the differential equation,
y" – 6y' + 15y = U (t),
аnd
y(0) = -1, y'(0) = -4
Where U(t) is the input signal and Y(t) is the output. If U(t)= 2 sin(3t) determine
the output y(t).
Transcribed Image Text:Q3 A dynamic system is represented by the differential equation, y" – 6y' + 15y = U (t), аnd y(0) = -1, y'(0) = -4 Where U(t) is the input signal and Y(t) is the output. If U(t)= 2 sin(3t) determine the output y(t).
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