Let y (t) be the solution of the initial value problem y" – 4y' + 5y = e-2t %3D 1 and y' (0) = 17 y (0) 17

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let y (t) be the solution of the initial value problem
y" – 4y' + 5y = e-2t
y (0)
1
and y (0) =
17
17
What is the asymptotic behavior of the solution y (t) as t goes to o ?
A) -00
B)
C) 0
D)
17
E)
The solution oscillates and does not reach a limit
8
Transcribed Image Text:Let y (t) be the solution of the initial value problem y" – 4y' + 5y = e-2t y (0) 1 and y (0) = 17 17 What is the asymptotic behavior of the solution y (t) as t goes to o ? A) -00 B) C) 0 D) 17 E) The solution oscillates and does not reach a limit 8
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