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Find the steady periodic solution Xsp (t) = C cos (ot-a) of the given equation mx'' + cx' + kx = F(t) with periodic forcing function F(t) of frequency co. Then graph Xsp (t) together with (for comparisor F(t) mo the adjusted function F₁ (t) = x' + 4x' + 43x = 9 cos 6t Xsp (t) = (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)

Find the steady periodic solution Xsp (t) = C cos (ot-a) of the given equation mx'' + cx' + kx = F(t) with periodic forcing function F(t) of frequency co. Then graph Xsp (t) together with (for comparisor F(t) mo the adjusted function F₁ (t) = x' + 4x' + 43x = 9 cos 6t Xsp (t) = (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)

Advanced Engineering Mathematics
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 steady periodic solution Xsp (t) = C cos (@t-a) of the given equation mx'' + cx' + kx = F(t) with periodic forcing function F(t) of frequency w. Then graph Xsp (t) together with (for comparisor F(t) the adjusted function F₁ (t) = - x'' + 4x' + 43x = 9 cos 6t mo 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 (@t-a) of the given equation mx'' + cx' + kx = F(t) with periodic forcing function F(t) of frequency w. Then graph Xsp (t) together with (for comparisor F(t) the adjusted function F₁ (t) = - x'' + 4x' + 43x = 9 cos 6t mo Xsp (t)= (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)
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