3. Six second-order equations and four y(t)-graphs are given below. 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. d²y d² (ii) + 16y = -10 d²y dt² + 16y = 5 cos(3t) (i) +16y=10 dt² dt² d'y 1 dy (iv) d'y dt² + 14y = 2 cos(4t) (v) +16y = cos(4t) +2 + 16y= cos(4t) dt² 2 dt² dt (a) (b) y y ME 27 -2+ 1 (c) y pyy 1 I 27 -2+ (d) -2+ y(t)-graphs for Exercise 3.
3. Six second-order equations and four y(t)-graphs are given below. 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. d²y d² (ii) + 16y = -10 d²y dt² + 16y = 5 cos(3t) (i) +16y=10 dt² dt² d'y 1 dy (iv) d'y dt² + 14y = 2 cos(4t) (v) +16y = cos(4t) +2 + 16y= cos(4t) dt² 2 dt² dt (a) (b) y y ME 27 -2+ 1 (c) y pyy 1 I 27 -2+ (d) -2+ y(t)-graphs for Exercise 3.
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. 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.
d²y
d²y
(i)
+ 16y= 10
(ii)
+16y=-10
d²y
(iii) +16y= 5 cos(3t)
dt²
dt²
dt²
d²y
(iv)
dy
+ 14y = 2 cos(4t)
+ 16y= cos(4t)
dt²
(vi) +2 + 16y=
dt² dt
(a)
(b)
d²y
dt²
(c)
-27
-2+
(d)
www.
MA
-2+
y(t)-graphs for Exercise 3.
cos(4t)
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