3. Six second-order equations and four y(t)-graphs are given below, respectively. The equations are all of the form dy +p+qy= cos(wt) 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 (a) (ii) p = 1, q=3, w = 1 (v) p = 5, q=1, w=3 (b) бот 8 Annaa (iii) p = 5, q=2, w = 2 (vi) p = 1, q=1, w = 3 Jasse бл

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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3. Six second-order equations and four y(t)-graphs are given below, respectively. The equations are all of the form
dy
+p+qy = cos(wt)
dt
dt²
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
(a)
(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
(b)
бол
8
"Anana
1
y(t)-graphs for Exercise 3.
AAAA,
бл
Transcribed Image Text:3. Six second-order equations and four y(t)-graphs are given below, respectively. The equations are all of the form dy +p+qy = cos(wt) dt dt² 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 (a) (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 (b) бол 8 "Anana 1 y(t)-graphs for Exercise 3. AAAA, бл
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