Find a fundamental matrix of the following system, and then apply x(t) = (t)P(0) 'x, to find a solution satisfying the initial conditions. - 6 - 5 x, x(0) = 6 36 1 Find a fundamental matrix for the given system. Select the correct answer below. - 5 sin 12t - 6 cos 12t + 12 sin 12t 12 cos 12t + 6 sin 12t 5 cos 12t 'A. $(t) = 6 + 5t - 12t 2 -5 e O B. P(t) = 2 + 5t - 6-5 e - 12t 6 cos 12t 5 sin 6t – 5 cos 12t O c. D(t) =| 5 sin 6t + 12 cos 12t - 6 sin 12t - 12t 6 e - 12t - 5 e O(t) = 12t 12t - 5 e 6 e Find a solution satisfying the given initial condition. X(t) = (Use integers or fractions for any numbers in the expression.)
Find a fundamental matrix of the following system, and then apply x(t) = (t)P(0) 'x, to find a solution satisfying the initial conditions. - 6 - 5 x, x(0) = 6 36 1 Find a fundamental matrix for the given system. Select the correct answer below. - 5 sin 12t - 6 cos 12t + 12 sin 12t 12 cos 12t + 6 sin 12t 5 cos 12t 'A. $(t) = 6 + 5t - 12t 2 -5 e O B. P(t) = 2 + 5t - 6-5 e - 12t 6 cos 12t 5 sin 6t – 5 cos 12t O c. D(t) =| 5 sin 6t + 12 cos 12t - 6 sin 12t - 12t 6 e - 12t - 5 e O(t) = 12t 12t - 5 e 6 e 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
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Has to be in the same form as the second image.
Transcribed Image Text:1
-8 cos 8t - sin 8t
x(t) =
8 cos 8t – 12 sin 8t
8.
Transcribed Image Text:Find a fundamental matrix of the following system, and then apply x(t) = D(t)P(0) 'x, to find a solution satisfying the initial conditions.
-6 - 5
1
x, x(0) =
1
36
....
Find a fundamental matrix for the given system. Select the correct answer below.
5 cos 12t
- 5 sin 12t
'A. Ot) =|
- 6 cos 12t + 12 sin 12t 12 cos 12t + 6 sin 12t
6+ 5t
2 -5 e
- 12t
O B. P(t) =
2 + 5t - 6-5 e 121
6 cos 12t 5 sin 6t – 5 cos 12t
O c. P(t) =
5 sin 6t + 12 cos 12t
- 6 sin 12t
- 12t
- 12t
6 e
- 5 e
D. D(t) =
12t
- 5 e
6 e
- 12t
Find a solution satisfying the given initial condition.
X(t) =
(Use integers or fractions for any numbers in the expression.)
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