37. Each of the five graphs on the next page is the solution of one of the five differen- tial equations listed. Each solution satisfies the initial conditions y(0) = 1, y'(0) = 0. Match each graph with one of the differential equations. (a) y" + 3y' + 2y = sint (b) y" + y = sint 3t (c) y" + y = sin- 2 (d) y" + 3y' + 2y = e10 t (e) y" + y + y = sin
37. Each of the five graphs on the next page is the solution of one of the five differen- tial equations listed. Each solution satisfies the initial conditions y(0) = 1, y'(0) = 0. Match each graph with one of the differential equations. (a) y" + 3y' + 2y = sint (b) y" + y = sint 3t (c) y" + y = sin- 2 (d) y" + 3y' + 2y = e10 t (e) y" + y + y = sin
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
Please do #37
Transcribed Image Text:37. Each of the five graphs on the next page is the solution of one of the five differen-
tial equations listed. Each solution satisfies the initial conditions y(0) = 1, y'(0) = 0.
Match each graph with one of the differential equations.
3t
(a) y" + 3y' + 2y = sint
(b) y" + y = sint
(c) y"+y = sin
2
t
(d) y" + 3y' + 2y = e'/10
(e) y" + y' + y = sin
3
Transcribed Image Text:1.5
6.
0.5
4
10
15
20
25
-0.5
-1.5
-2
10
15
20
25
Graph A
Graph B
0.8
0.6
0.5
0.4
0.2
10
15
20
25
-0.5
10
15
20
25
-0.2
-1
Graph C
Graph D
10
15
25
-5
-10
Graph E
Figure for Exercise 37
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