The solution to y" + 9y = 5 cos wt will exhibit %3D (a) resonance when w= (b) beats when w= (There are many correct answers)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Do 2,3,4

1.
ne solution to y" + 6y' + 9y = 0 is (circle one)
(a) undamped
(b) over-damped
(c) under-damped
(d) critically damped
The solution to y" + 9y = 5 cos wt will exhibit
(a) resonance when w=
(b) beats when w=
(There are many correct answers)
3. Sketch the graph of the solution to the initial value problem ay" + by +cy = 0, ul0) = -2, 1/(0) = -1 it
we know that b0 and b- 4ac < 0. The graph should be clearly labeled,
Show some work below to support your answers. Give values of a, b, c and a function f(t) #0 for
solution to ay/" + by + cy= f(t)
wh..
a =
b =
S(t) =.
c=
will :
(a) be entirely steady-state.
(b) have both a steady-state and transient solution.
Transcribed Image Text:1. ne solution to y" + 6y' + 9y = 0 is (circle one) (a) undamped (b) over-damped (c) under-damped (d) critically damped The solution to y" + 9y = 5 cos wt will exhibit (a) resonance when w= (b) beats when w= (There are many correct answers) 3. Sketch the graph of the solution to the initial value problem ay" + by +cy = 0, ul0) = -2, 1/(0) = -1 it we know that b0 and b- 4ac < 0. The graph should be clearly labeled, Show some work below to support your answers. Give values of a, b, c and a function f(t) #0 for solution to ay/" + by + cy= f(t) wh.. a = b = S(t) =. c= will : (a) be entirely steady-state. (b) have both a steady-state and transient solution.
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