1 Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0)¯ ¹x。 to find a solution satisfying the initial conditions. - 6 36 Ο Α. Φ(t) = Find a fundamental matrix for the given system. Select the correct answer below. Β. Φ(t) = Ο c. Φ(t) = -2] 6 D. Φ(t) = |X, X(0) = - 6t 6e -2e⁰ 6t - 6t 6 + 2t - 2e - 6t 6e 6 cos 6t 2 sin 6t - 2 cos 6t - 6 sin 6t 2 sin 6t+ 6 cos 6t - 6t 1 - 2e 1+ 2t -6-2e-6t 2 cos 6t - 2 sin 6t 6 cos 6t+ 6 sin 6t 6 cos 6t+ 6 sin 6t Find a solution satisfying the given initial condition. x(t) = (Use integers or fractions for any numbers in the expression.)
1 Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0)¯ ¹x。 to find a solution satisfying the initial conditions. - 6 36 Ο Α. Φ(t) = Find a fundamental matrix for the given system. Select the correct answer below. Β. Φ(t) = Ο c. Φ(t) = -2] 6 D. Φ(t) = |X, X(0) = - 6t 6e -2e⁰ 6t - 6t 6 + 2t - 2e - 6t 6e 6 cos 6t 2 sin 6t - 2 cos 6t - 6 sin 6t 2 sin 6t+ 6 cos 6t - 6t 1 - 2e 1+ 2t -6-2e-6t 2 cos 6t - 2 sin 6t 6 cos 6t+ 6 sin 6t 6 cos 6t+ 6 sin 6t Find a solution satisfying the given initial condition. x(t) = (Use integers or fractions for any numbers in the expression.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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![1
Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0)¯ ¹x。 to
find a solution satisfying the initial conditions.
- 6
36
Ο Α. Φ(t) =
Find a fundamental matrix for the given system. Select the correct answer below.
Β. Φ(t) =
Ο c. Φ(t) =
2
-2]
6
D. Φ(t) =
|X, X(0) =
- 6t
6e
-2e⁰
6t
- 6t
6 + 2t
- 2e
- 6t
6e
6 cos 6t 2 sin 6t - 2 cos 6t
- 6 sin 6t
2 sin 6t+ 6 cos 6t
- 6t
1 - 2e
1+ 2t -6-2e-6t
2 cos 6t
- 2 sin 6t
6 cos 6t+ 6 sin 6t 6 cos 6t + 6 sin 6t
Find a solution satisfying the given initial condition.
x(t) =
(Use integers or fractions for any numbers in the expression.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3200e892-7b83-4670-8aa5-c4c84f2a6adb%2Fcee9a373-da11-4634-a1ec-adaabe74d454%2Fyooof8w_processed.png&w=3840&q=75)
Transcribed Image Text:1
Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0)¯ ¹x。 to
find a solution satisfying the initial conditions.
- 6
36
Ο Α. Φ(t) =
Find a fundamental matrix for the given system. Select the correct answer below.
Β. Φ(t) =
Ο c. Φ(t) =
2
-2]
6
D. Φ(t) =
|X, X(0) =
- 6t
6e
-2e⁰
6t
- 6t
6 + 2t
- 2e
- 6t
6e
6 cos 6t 2 sin 6t - 2 cos 6t
- 6 sin 6t
2 sin 6t+ 6 cos 6t
- 6t
1 - 2e
1+ 2t -6-2e-6t
2 cos 6t
- 2 sin 6t
6 cos 6t+ 6 sin 6t 6 cos 6t + 6 sin 6t
Find a solution satisfying the given initial condition.
x(t) =
(Use integers or fractions for any numbers in the expression.)
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