Solve the initial value problem. -2 X' = AX, X(0) = , where A = 5 2 [2 sin 2t+-4 cos 2t] e2t -5 cos 2t - 10 sin 2t O A. X(t) = -2 sin 2t+ 4 cos 2t e-2t 5 cos 2t + 10 sin 2t В. X() 3D -2 sin 2t+ 4 cos 2t e2t 5 cos 2t + 10 sin 2t C. X(t) = 2 sin 2t - 4 cos 2t e-2t -5 cos 2t - 10 sin 2t O D. X(t) =
Solve the initial value problem. -2 X' = AX, X(0) = , where A = 5 2 [2 sin 2t+-4 cos 2t] e2t -5 cos 2t - 10 sin 2t O A. X(t) = -2 sin 2t+ 4 cos 2t e-2t 5 cos 2t + 10 sin 2t В. X() 3D -2 sin 2t+ 4 cos 2t e2t 5 cos 2t + 10 sin 2t C. X(t) = 2 sin 2t - 4 cos 2t e-2t -5 cos 2t - 10 sin 2t O D. X(t) =
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
![Solve the initial value problem.
-2
X' = AX, X(0) =
where A =
5
5 2
[2 sin 2t + 4 cos 2t]
e2t
-5 cos 2t - 10 sin 2t
O A. X(t) =
-2 sin 2t + 4 cos 2t
e-2t
5 cos 2t + 10 sin 2t
B. X(t) =
-2 sin 2t+ 4 cos 2t
e2t
5 cos 2t + 10 sin 2t
C. X(t) =
O D. X(t) =
2 sin 2t - 4 cos 2t
e-2t
-5 cos 2t - 10 sin 2t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3174849f-e02b-41a7-aab9-bd243a2178b1%2F9b019677-c505-4ddf-a402-c43f860bdc3c%2Fv8emgb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the initial value problem.
-2
X' = AX, X(0) =
where A =
5
5 2
[2 sin 2t + 4 cos 2t]
e2t
-5 cos 2t - 10 sin 2t
O A. X(t) =
-2 sin 2t + 4 cos 2t
e-2t
5 cos 2t + 10 sin 2t
B. X(t) =
-2 sin 2t+ 4 cos 2t
e2t
5 cos 2t + 10 sin 2t
C. X(t) =
O D. X(t) =
2 sin 2t - 4 cos 2t
e-2t
-5 cos 2t - 10 sin 2t
Transcribed Image Text:3
X"
-1 -3
X, X(0)=
find the solution of the given initial value problem.
A. X = 2
+ 14
t
B. X = 2
+ 14
C. X = 2
+ 14
D. X = 2
+ 14
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