3. Six second-order equations and four y(t)-graphs are given below, respectively. The equations are all of the form d²y dy + p + qy = cos(wt) dt2 dt for various values of the parameters p, q, and w. For each y(t)-graph, determine the second-order equation for which y(t) is a solution, and state briefly how you know your choice is correct. You should do this exercise WITHOUT using technology. (i) p = 5, q= 3, w = 1 (ii) p = 1, q= 3, w = 1 (v) p = 5, q=1, w = 3 (iii) p = 5, q=2, w = 2 (vi) p = 1, q= 1, w = 3 (iv) p = 1, q= 3, w = 2 (a) (b) y y MAXAI 87 бл (c) Annos 1 677 (d) t विनिनिधि Forgomane 47 67 y(t)-graphs for Exercise 3. NAI 87
3. Six second-order equations and four y(t)-graphs are given below, respectively. The equations are all of the form d²y dy + p + qy = cos(wt) dt2 dt for various values of the parameters p, q, and w. For each y(t)-graph, determine the second-order equation for which y(t) is a solution, and state briefly how you know your choice is correct. You should do this exercise WITHOUT using technology. (i) p = 5, q= 3, w = 1 (ii) p = 1, q= 3, w = 1 (v) p = 5, q=1, w = 3 (iii) p = 5, q=2, w = 2 (vi) p = 1, q= 1, w = 3 (iv) p = 1, q= 3, w = 2 (a) (b) y y MAXAI 87 бл (c) Annos 1 677 (d) t विनिनिधि Forgomane 47 67 y(t)-graphs for Exercise 3. NAI 87
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:3. Six second-order equations and four y(t)-graphs are given below, respectively. The equations are all of the form
d²y dy
+ p. + qy = cos(wt)
dt2
dt
for various values of the parameters p, q, and w. For each y(t)-graph, determine the second-order equation for
which y(t) is a solution, and state briefly how you know your choice is correct. You should do this
exercise WITHOUT using technology.
(i) p = 5, q= 3, w = 1
(iv) p = 1, q= 3, w = 2
(ii) p = 1, q= 3, w = 1
(v) p = 5, q= 1, w = 3
(iii) p = 5, q=2, w = 2
(vi) p = 1, q= 1, w = 3
(a)
(b)
(c)
MAAAA
framanmama
2π
4л
бл
-14
y(t)-graphs for Exercise 3.
47 бл
mão
бл
87
87
(d)
(Section 4.3 Exercises on the back.)
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