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Find the steady periodic solution xsp = C cos (wt – a) of the given differential equation mx" + cx' + kx = F (t) with periodic forcing function F (t) of frequency w. %3D a) 2x " + 2x'+ x = 3 cos 10t answer: (-597/4001)cos(10t) + (60/4001)sin(10t), i need to know how to get to this answer.

Find the steady periodic solution xsp = C cos (wt – a) of the given differential equation mx" + cx' + kx = F (t) with periodic forcing function F (t) of frequency w. %3D a) 2x " + 2x'+ x = 3 cos 10t answer: (-597/4001)cos(10t) + (60/4001)sin(10t), i need to know how to get to this answer.

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 = C cos (wt – a) of the given differential equation mx" + cx' + kx = F (t) with periodic forcing function F (t) of frequency w. a) 2x " + 2x '+ x = 3 cos 10t answer: (-597/4001)cos(10t) + (60/4001)sin(10t), i need to know how to get to this answer.
Transcribed Image Text:Find the steady periodic solution xsp = C cos (wt – a) of the given differential equation mx" + cx' + kx = F (t) with periodic forcing function F (t) of frequency w. a) 2x " + 2x '+ x = 3 cos 10t answer: (-597/4001)cos(10t) + (60/4001)sin(10t), i need to know how to get to this answer.
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