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Solve the initial value problem. X' = AX, X(0) = , where A = 10 [-2 sin 5t + 4 cos 5t] 4 cos 5t + 8 sin 5t O A. X(t) = [2 sin 5t + 4 cos 5t] e2t 4 cos 5t - 8 sin 5t В. X(t) - 2 sin 5t - 4 cos 5t e2 C. X(t) = 4 cos 5t - 8 sin 5t

Solve the initial value problem. X' = AX, X(0) = , where A = 10 [-2 sin 5t + 4 cos 5t] 4 cos 5t + 8 sin 5t O A. X(t) = [2 sin 5t + 4 cos 5t] e2t 4 cos 5t - 8 sin 5t В. X(t) - 2 sin 5t - 4 cos 5t e2 C. X(t) = 4 cos 5t - 8 sin 5t

Advanced Engineering Mathematics
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 [-2 sin 5t + 4 cos 5t] 4 cos 5t + 8 sin 5t O A. X(t) = [2 sin 5t + 4 cos 5t] e2t 4 cos 5t - 8 sin 5t В. X(t) - [2 sin 5t - 4 cos 5t] O C. X(t) = [4 cos 5t - 8 sin 5t D. X(t) [-2 sin 5t + 4 cos 5t] e2t |4 cos 5t + 8 sin 5t
Transcribed Image Text:Solve the initial value problem. X' = AX, X(0) = , where A = 10 [-2 sin 5t + 4 cos 5t] 4 cos 5t + 8 sin 5t O A. X(t) = [2 sin 5t + 4 cos 5t] e2t 4 cos 5t - 8 sin 5t В. X(t) - [2 sin 5t - 4 cos 5t] O C. X(t) = [4 cos 5t - 8 sin 5t D. X(t) [-2 sin 5t + 4 cos 5t] e2t |4 cos 5t + 8 sin 5t
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