At by first finding a fundamental matrix X(t) for x' = Ax and then using the formula e At 099 A = 90 9 990 First, find X(t). Choose the correct answer below. 18t - 9t 0 A. X(t)= 18t 0 e-9t 18t - 9t e - e - e-9t (1+t) e 18t e-9t 0 OC. X(t)= (1+t) e 18t - 9t - 9t Next, find e At Determine e e e e 0 e (1+1) e 18te - 9t L atten LARVEURS 14724 MEDEL e = X(t)X(0) - ¹.
At by first finding a fundamental matrix X(t) for x' = Ax and then using the formula e At 099 A = 90 9 990 First, find X(t). Choose the correct answer below. 18t - 9t 0 A. X(t)= 18t 0 e-9t 18t - 9t e - e - e-9t (1+t) e 18t e-9t 0 OC. X(t)= (1+t) e 18t - 9t - 9t Next, find e At Determine e e e e 0 e (1+1) e 18te - 9t L atten LARVEURS 14724 MEDEL e = X(t)X(0) - ¹.
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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MATH 2080-004
Homework: 9.8
Determine e At by first finding a fundamental matrix X(t) for x' = Ax and then using the formula e At = X(t)X(0)-1.
099
A = 90 9
990
First, find X(t). Choose the correct answer below.
18t
- 9t
0
A. X(t)=
18t
0
18t
- 9t
e
(1+t) e 18t
OC. X(t)= (1+t) e 18t
(1+t) e 18t
Next, find e At
At
e
e
e
e
e
- 9t
0
- 9t
- 9t
.-9t
e
- e
e
2
P
0
- 9t
- 9t
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