In each of Problems 7 through 10, find the steady periodic so- lution xsp(t) cx' + kx = F(1) with periodic forcing function F(1) of fre- quency w. Then graph xsp(t) together with (for comparison) the adjusted forcing function F1 (t) = F(t)/mw. = C cos(@t - a) of the given equation mx" + 7. x" + 4x' + 4x = 10 cos 3t // 8. x" + 3x' + 5x = –4 cos 5t %3D
In each of Problems 7 through 10, find the steady periodic so- lution xsp(t) cx' + kx = F(1) with periodic forcing function F(1) of fre- quency w. Then graph xsp(t) together with (for comparison) the adjusted forcing function F1 (t) = F(t)/mw. = C cos(@t - a) of the given equation mx" + 7. x" + 4x' + 4x = 10 cos 3t // 8. x" + 3x' + 5x = –4 cos 5t %3D
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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Need help for #8 please
Transcribed Image Text:X Independent Group Home Living X
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5. mx" +kx = = xo, x' (0) = 0
77
Fo cos wt with w wo; x(0)
6. mx" + kx = Fo cos wt with w = wo; x(0) = 0, x' (0)
= vo
In each of Problems 7 through 10, find the steady periodic so-
lution xsp(t)
cx' + kx =
= C cos(@t - a) of the given equation mx" +
F (t) with periodic forcing function F(t) of fre-
quency w. Then graph xsp (t) together with (for comparison)
the adjusted forcing function F1(t) = F(t)/mw.
7. x" + 4x'+ 4x = 10 cos 3t
8. x" + 3x + 5x = –4 cos 5t
9. 2x" + 2x' + x = 3 sin 10t
//
10. x" + 3x' + 3x = 8 cos 10t + 6 sin 10t
In each of Problems 11 through 14, find and plot both the
steady periodic solution xsp (t) = C cos(@t - a) of the given
Xsp
1 golution x(t) = Xsp (t) +
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