Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) 1x to find a solution satisfying the initial conditions. -6-2 x' = x, x(0)= 36 6 1+2t - 6-2 e-6t| 2 cos 6t - 2 sin 6t C. (t)= - 6 cos 6t + 6 sin 6t 6 cos 6t + 6 sin 6t - 6t - 2e - 6t OD. (t)= 6e -2 e 6t -6t 6e 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)(0) 1x to find a solution satisfying the initial conditions. -6-2 x' = x, x(0)= 36 6 1+2t - 6-2 e-6t| 2 cos 6t - 2 sin 6t C. (t)= - 6 cos 6t + 6 sin 6t 6 cos 6t + 6 sin 6t - 6t - 2e - 6t OD. (t)= 6e -2 e 6t -6t 6e 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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Question
![Find a fundamental matrix of the following system, and then apply x(t) = (t)Þ(0) 1x to find a solution satisfying the initial
conditions.
-6-2
x' =
X, X(0)=
(0)-[1]
36
G
1+2t - 6-2 e-6
2 cos 6t
- 2 sin 6t
C. (t)=
- 6 cos 6t + 6 sin 6t 6 cos 6t + 6 sin 6t
6e - 6t
-2 e-6t
D. Φ(t) =
-2e
, 6t
6 e-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%2Ff2adc9ea-e47e-48f3-9d35-0eba2e591430%2Fde5c1f85-03d1-46e6-876d-718d611a1a58%2F33ilnc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find a fundamental matrix of the following system, and then apply x(t) = (t)Þ(0) 1x to find a solution satisfying the initial
conditions.
-6-2
x' =
X, X(0)=
(0)-[1]
36
G
1+2t - 6-2 e-6
2 cos 6t
- 2 sin 6t
C. (t)=
- 6 cos 6t + 6 sin 6t 6 cos 6t + 6 sin 6t
6e - 6t
-2 e-6t
D. Φ(t) =
-2e
, 6t
6 e-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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