For which value of the constant a > 0 does the steady-state solution of * + ai + 4x = 5 cos (2t) have maximal amplitude? a=1 a = √2 I a=2 |a=4 there is no such value

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The answer was "there is no such value". I was wondeing if you would be able to show the process of how to find that.

Second order ODE, Amplitude, forced vibration.    
For which value of the constant a > 0 does the steady-state solution of
* + aż + 4x = 5 cos(2t)
have maximal amplitude?
a = 1
a = √₂ x
a = 2
=4
there is no such value
Transcribed Image Text:For which value of the constant a > 0 does the steady-state solution of * + aż + 4x = 5 cos(2t) have maximal amplitude? a = 1 a = √₂ x a = 2 =4 there is no such value
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