Forced, dauped oscillator mx +cŔ +kx c focos(ut). ............... a) Particuler Solution Assuuption Xp(t) = A cos(ut) + B sin (ut) Find A and s cosa cosb tsina sinb fo express soution the forme: b) Utilize cos (a-b). bo part b) in Xp(t) = Ccos (ut -+) Express auplitude c and phase angle & in fo,k, m tenus of: ( and c) Geueral solution to the problecm? NoR: ८°- 4uk

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Forced, dauped oscillator
fo cos (ut).
८५-4wlk
a) Particuler Solution Assuuption
Xp(t) = A cos(ut) + B sin (ut)
Find A
and
b) Utilize
cos (a-b) = cosa cosbt sina sinb to express soltion
bo part b)
the form:
in
Xp(t) - Ccos (ut -+)
Express auplitude c and phase angle & in
terms of:(
and
t.
) General solubon to the problem?
Note: c?=4uk
Transcribed Image Text:Forced, dauped oscillator fo cos (ut). ८५-4wlk a) Particuler Solution Assuuption Xp(t) = A cos(ut) + B sin (ut) Find A and b) Utilize cos (a-b) = cosa cosbt sina sinb to express soltion bo part b) the form: in Xp(t) - Ccos (ut -+) Express auplitude c and phase angle & in terms of:( and t. ) General solubon to the problem? Note: c?=4uk
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