Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)(0) ¹x to find a solution satisfying the initial conditions. 6 -2 *-[*]}]} *-[-]}] X(0)= 36 6 X Β. Φ(t) = OC. (t)= OD. (t)= 2 sin 6t+ 6 cos 6t 6 e 6 cos 6t 2 sin 6t-2 cos 6t - 6 sin 6t 6 + 2t 1-2e 1+2t -6-2e -6t - 6t 6t -2e61 -2 e - 6t 6 e - 6t - 6t 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) = Þ(t)(0) ¹x to find a solution satisfying the initial conditions. 6 -2 *-[*]}]} *-[-]}] X(0)= 36 6 X Β. Φ(t) = OC. (t)= OD. (t)= 2 sin 6t+ 6 cos 6t 6 e 6 cos 6t 2 sin 6t-2 cos 6t - 6 sin 6t 6 + 2t 1-2e 1+2t -6-2e -6t - 6t 6t -2e61 -2 e - 6t 6 e - 6t - 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
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![Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)(0) ¹x to find a solution satisfying the initial conditions.
6 -2
*-[*]}]} *-[-]}]
X(0)=
36 6
X
Β. Φ(t) =
OC. (t)=
OD. (t)=
2 sin 6t+ 6 cos 6t
6 e
6 cos 6t 2 sin 6t-2 cos 6t
- 6 sin 6t
6 + 2t 1-2e
1+2t -6-2e -6t
- 6t
6t
-2e61
-2 e
- 6t
6 e
- 6t
- 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%2F896deee6-4ebc-4afd-8502-502eb7aa6712%2Fbfcd94c1-208a-4bf7-a401-67b348d4ca9d%2Ftlf6k4t_processed.png&w=3840&q=75)
Transcribed Image Text:Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)(0) ¹x to find a solution satisfying the initial conditions.
6 -2
*-[*]}]} *-[-]}]
X(0)=
36 6
X
Β. Φ(t) =
OC. (t)=
OD. (t)=
2 sin 6t+ 6 cos 6t
6 e
6 cos 6t 2 sin 6t-2 cos 6t
- 6 sin 6t
6 + 2t 1-2e
1+2t -6-2e -6t
- 6t
6t
-2e61
-2 e
- 6t
6 e
- 6t
- 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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