Find the solution the initial value problem x' -13 X, %3D 1 -3 (1) x(0) cos(3 t) – 4 sin(3 t) x = e cos (3 t) – 2 sin(3 t)

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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Find the solution the initial value problem x' = (
Edit
-13
X,
%3D
1
-3
()
x(0):
cos (3 t)
4 sin(3 t)
X =
cos(3 t)- 2 sin(3 t)
Describe the behavior of the solution as t → o.
x =
O as t → o0
%3D
Transcribed Image Text:Find the solution the initial value problem x' = ( Edit -13 X, %3D 1 -3 () x(0): cos (3 t) 4 sin(3 t) X = cos(3 t)- 2 sin(3 t) Describe the behavior of the solution as t → o. x = O as t → o0 %3D
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