The differential equation y"(t) + 5y'(t) + y(t) = x(t)describes a system. Let the system be initially at rest,y(0*) = y'(0*) = 0, and let the input signal x(t) = 3u(t).What are the system outputs at t = 1,5, y(1,5)?%3D%3D%3DHint: Find natural response. Find forced response (Wehave constant input. Its value is 3). Then using initialcondition, you can find coefficients of natural response.Then you can find y(1,5).О а. -0,79O b. 0,71О с. 3,71O d. 1,61О е. -1,39O f. -0,19O g. 2,21O h. 3,11

Given Differential equation of system is y''t+5y't+yt=xtandxt=3ut Since ut=1 t≥00…

The differential equation y"(t) + 5y'(t) + y(t) = x(t) describes a system. Let the system be initially at rest, %3D y(0*) = y'(0*) = 0, and let the input signal x(t) = 3u(t). What are the system outputs at t = 1,5, y(1,5)? %3D %3D %3D %3D

The differential equation y"(t) + 5y'(t) + y(t) = x(t) describes a system. Let the system be initially at rest, %3D y(0) = y'(0) = 0, and let the input signal x(t) = 3u(t). What are the system outputs at t = 1,5, y(1,5)? %3D %3D %3D %3D

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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Question

The differential equation y"(t) + 5y'(t) + y(t) = x(t)
describes a system. Let the system be initially at rest,
y(0*) = y'(0*) = 0, and let the input signal x(t) = 3u(t).
What are the system outputs at t = 1,5, y(1,5)?
%3D
%3D
%3D
Hint: Find natural response. Find forced response (We
have constant input. Its value is 3). Then using initial
condition, you can find coefficients of natural response.
Then you can find y(1,5).
О а. -0,79
O b. 0,71
О с. 3,71
O d. 1,61
О е. -1,39
O f. -0,19
O g. 2,21
O h. 3,11

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