Match each one of the responses shown below (Cases 1-4) with one of the following IVPS Case 2 Case 3 Case 4 State, 10 8 6 4 2 0 -2 -4 -6 -8 -10 Case 1 0 1 2 3 4 5 6 7 8 Time, t 10 8 6 4 2 0 -2 -4 -6 -8 -10 0 1 2 3 4 5 6 7 Time, t (a) * + x + x = 0, x(0) = 8,x(0) = 0 (b) x-x=2, x(0) = 8 (c) x+x=2, x(0) = 8 (d) x + x + x = 2, x(0) = 0,x(0) = -8 (e) x + x + x = 2, x(0) = 2, x(0) = 0 8 10 8 6 4 2 0 -2 -4 -6 -8 -10 0 1 2 3 4 5 6 7 8 Time, t 10 8 6 4 2 0 -2 -4 -6 -8 -10 0 1 2 3 4 5 678 Time, t (f) x + x = 8, x(0) = 2 (g) +x = 0, x(0) = 8 (h) x + x + x = 0, x(0) = 8,x(0) = -3 (i) x + x + x = 0, x(0) = 2,x(0) = 10 (j) x + 8x = 0, x(0) = 0

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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Match each one of the responses shown below (Cases 1-4) with one of the following IVPS
Case 1
Case 2
Case 3
10
8
6
4
2
0
-2
-4
-6
-8
-10
0 1 2 3 4 5 6 7 8
Time, t
10
8
6
4
2
0
-2
-4
-6
-8
-10
0 1 2 3 4 5 6 7 8
Time, t
(a) x + x + x = 0,x(0) = 8,x(0) = 0
(b) x - x = 2, x(0) = 8
(c) x+x=2, x(0) = 8
(d) x + x + x = 2, x(0)=0, x(0) = -8
(e) x + x + x = 2, x(0) = 2, x(0) = 0
10
8
6
4
2
0
-2
-4
-6
-8
-10
0 1 2 3 4 5 6 7 8
Time, t
10
8
6
4
2
0
-2
-4
-6
-8
-10
Case 4
0 1 2 3 4 5 6 7 8
Time, t
(f) x + x = 8, x(0) = 2
(g) x + x = 0, x(0) = 8
(h) x + x + x = 0, x(0) = 8,x(0) = -3
(i) x+x+x=0, x(0) = 2,x(0) = 10
(j) x + 8x = 0, x (0) = 0
Transcribed Image Text:Match each one of the responses shown below (Cases 1-4) with one of the following IVPS Case 1 Case 2 Case 3 10 8 6 4 2 0 -2 -4 -6 -8 -10 0 1 2 3 4 5 6 7 8 Time, t 10 8 6 4 2 0 -2 -4 -6 -8 -10 0 1 2 3 4 5 6 7 8 Time, t (a) x + x + x = 0,x(0) = 8,x(0) = 0 (b) x - x = 2, x(0) = 8 (c) x+x=2, x(0) = 8 (d) x + x + x = 2, x(0)=0, x(0) = -8 (e) x + x + x = 2, x(0) = 2, x(0) = 0 10 8 6 4 2 0 -2 -4 -6 -8 -10 0 1 2 3 4 5 6 7 8 Time, t 10 8 6 4 2 0 -2 -4 -6 -8 -10 Case 4 0 1 2 3 4 5 6 7 8 Time, t (f) x + x = 8, x(0) = 2 (g) x + x = 0, x(0) = 8 (h) x + x + x = 0, x(0) = 8,x(0) = -3 (i) x+x+x=0, x(0) = 2,x(0) = 10 (j) x + 8x = 0, x (0) = 0
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