b) Solve the following initial value problem, where all constants are strictly positive. d²x dx dx dt² +c+kx = A cos wt with dt dt Explain as much as you can about how the system behaves for varying values of c. m x(0) = <= a, = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Hi Could you please explain with as much details
as possible. Thank you!
b) Solve the following initial value problem, where all constants are strictly positive.
dx
d²x
dx
+ c
dt2 dt
A cos wt with (0) = a, -(0) = 0
dt
Explain as much as you can about how the system behaves for varying values of c.
m
+ kx
=
Transcribed Image Text:Hi Could you please explain with as much details as possible. Thank you! b) Solve the following initial value problem, where all constants are strictly positive. dx d²x dx + c dt2 dt A cos wt with (0) = a, -(0) = 0 dt Explain as much as you can about how the system behaves for varying values of c. m + kx =
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