(t) = C cos (@t-a) of the given equation mx'' + cx' + kx = F(t) with periodic forcing function F(t) of Find the steady periodic solution 1 Xsp frequency Ⓡ. Then graph Xsp (t) together with (for comparison) the adjusted function F₁ (t) = F(t) mo x' +6x' +9x = 12 cos 2t Xsp (t) = (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)

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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Find the steady periodic solution Xsp (t) = C cos (wt − a) of the given equation mx'' + cx' + kx = F(t) with periodic forcing function F(t) of
F(t)
=
frequency w. Then graph Xp (t) together with (for comparison) the adjusted function F₁ (t) =
mo
x' + 6x' + 9x = 12 cos 2t
Xsp (t) =
(Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)
Transcribed Image Text:Find the steady periodic solution Xsp (t) = C cos (wt − a) of the given equation mx'' + cx' + kx = F(t) with periodic forcing function F(t) of F(t) = frequency w. Then graph Xp (t) together with (for comparison) the adjusted function F₁ (t) = mo x' + 6x' + 9x = 12 cos 2t Xsp (t) = (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)
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