Solve the initial value problem. X' = AX, X(0) = | ,where A = 10 -3 -2 sin 2t + 2 cos 2t A. X(t) = e 3t | 10 cos 2t + 10 sin 2t 2 sin 2t + -2 cos 2t B. X(t) = |-10 cos 2t - 10 sin 2t e3t 2 sin 2t - 2 cos 2t C. X(t) = e 3t |-10 cos 2t - 10 sin 2t -2 sin 2t + 2 cos 2t D. X(t) = %3! 10 cos 2t + 10 sin 2t

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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Solve the initial value problem.
X' = AX, X(0) =
,where A =
10
-3
A. X(t) =
-2 sin 2t + 2 cos 2t
e 3t
| 10 cos 2t + 10 sin 2t
2 sin 2t + -2 cos 2t
B. X(t) =
|-10 cos 2t - 10 sin 2t
e3t
2 sin 2t - 2 cos 2t
C. X(t) =
e 3t
|-10 cos 2t - 10 sin 2t
-2 sin 2t + 2 cos 2t
D. X(t) =
%3!
10 cos 2t + 10 sin 2t
Transcribed Image Text:Solve the initial value problem. X' = AX, X(0) = ,where A = 10 -3 A. X(t) = -2 sin 2t + 2 cos 2t e 3t | 10 cos 2t + 10 sin 2t 2 sin 2t + -2 cos 2t B. X(t) = |-10 cos 2t - 10 sin 2t e3t 2 sin 2t - 2 cos 2t C. X(t) = e 3t |-10 cos 2t - 10 sin 2t -2 sin 2t + 2 cos 2t D. X(t) = %3! 10 cos 2t + 10 sin 2t
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