Solve the initial value problem. 3 3 X' = AX, X(0) = - [1³]. , where A = 15 دیا بدأ من 10 3
Solve the initial value problem. 3 3 X' = AX, X(0) = - [1³]. , where A = 15 دیا بدأ من 10 3
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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Question
Transcribed Image Text:Solve the initial value problem.
3
,where A =
15
3
X' = AX, X(0) =
10
3
3 sin 2t - 3 cos 2t
O A. X(t) =
|-15 cos 2t - 15 sin 2t|
e3t
3 sin 2t + -3 cos 2t
B. X(t) =
-15 cos 2t - 15 sin 2t
e-3t
-3 sin 2t + 3 cos 2t
C. X(t) =
e-3t
15 cos 2t + 15 sin 2t
-3 sin 2t + 3 cos 2t
D. X(t) =
e3t
15 cos 2t + 15 sin 2t
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