Find a fundamental matrix of the following system, and then apply x(t)=(1)(0) ¹x, to find a solution satisfying the initial conditions 72] <. x(0)-[71] 4- x. F 24 Find a fundamental matrix for the given system. Select the correct answer below. A. (1)= OB. (t)= Oc. (t)= OD. (1)= 5 cos 4t -5 sin 4t -2 cos 41+4 sin 4t 4 cos 4t+2 sin 4t 2+5t 2-5e-4t 2+51 -2-5e-4 2 cos 4t 5 sin 21-5 cos 41 -2 sin 4 5 sin 2t+4 cos 41 2e-4 -5eft 5e-41 2e-4 Find a solution satisfying the given initial condition x(1) = 2
Find a fundamental matrix of the following system, and then apply x(t)=(1)(0) ¹x, to find a solution satisfying the initial conditions 72] <. x(0)-[71] 4- x. F 24 Find a fundamental matrix for the given system. Select the correct answer below. A. (1)= OB. (t)= Oc. (t)= OD. (1)= 5 cos 4t -5 sin 4t -2 cos 41+4 sin 4t 4 cos 4t+2 sin 4t 2+5t 2-5e-4t 2+51 -2-5e-4 2 cos 4t 5 sin 21-5 cos 41 -2 sin 4 5 sin 2t+4 cos 41 2e-4 -5eft 5e-41 2e-4 Find a solution satisfying the given initial condition x(1) = 2
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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Advance mathamatics
![Find a fundamental matrix of the following system, and then apply x(t)=(1)(0) ¹x, to find a solution satisfying the initial conditions
72] <. x(0)-[7]
4-
F
24
Find a fundamental matrix for the given system. Select the correct answer below.
A. (1)=
OB. (t)=
Oc. (t)=
OD. (1)=
5 cos 4t
-5 sin 4t
-2 cos 41+4 sin 4t 4 cos 4t+2 sin 4t
2+5t 2-5e-4t
2+51 -2-5e-4
2 cos 4t 5 sin 21-5 cos 41
-2 sin 4t
5 sin 2t+4 cos 41
2e-4
-5eft
-5e-4
2e-4
Find a solution satisfying the given initial condition
x(t) =
2
8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7b6ce77-7d1f-42c7-90fc-6e082dc1db1b%2F9f39beee-60cc-4b75-808d-2aa3a5296ea4%2Fbfvx35s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find a fundamental matrix of the following system, and then apply x(t)=(1)(0) ¹x, to find a solution satisfying the initial conditions
72] <. x(0)-[7]
4-
F
24
Find a fundamental matrix for the given system. Select the correct answer below.
A. (1)=
OB. (t)=
Oc. (t)=
OD. (1)=
5 cos 4t
-5 sin 4t
-2 cos 41+4 sin 4t 4 cos 4t+2 sin 4t
2+5t 2-5e-4t
2+51 -2-5e-4
2 cos 4t 5 sin 21-5 cos 41
-2 sin 4t
5 sin 2t+4 cos 41
2e-4
-5eft
-5e-4
2e-4
Find a solution satisfying the given initial condition
x(t) =
2
8
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