In each of Problems 7 through 10, find the steady periodic solution x sp (t) = C
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In each of Problems 7 through 10, find the steady periodic solution xsp(t) = C cos(ωt - α) of the given equation mx" + cx' + kx = F(t) with periodic forcing function F(t) of frequency ω. Then graph xsp(t) together with (for comparison) the adjusted forcing function F1(t) = F(t)/mω.
x" + 3x' + 3x = 8 cos 10t + 6 sin 10t
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Acos 10t 10 sin 5t 97A30B 8 30A97B 6 342 956 103...View the full answer
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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