Suppose an undamped forced spring mass system is driven by the equation + 9x = f(t), dt where the Fourier series of a function is given by f(t) = cos(6t), for -π ≤ t ≤ ñ. Let ∞ x(t) = Σ An cos(nt) n=1 be a particular solution. (a) Find A₁. (b) Find A6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
=1(a):
=1(b):
Suppose an undamped forced spring mass system is driven by the equation
d²x
di²
where the Fourier series of a function is given by f(t) = cos(6t), for -л ≤ t ≤ л. Let
+ 9x = f(t),
x(t) =
∞
Σ An cos(nt)
n=1
be a particular solution.
(a) Find A₁.
(b) Find A6
Enter your answer symbolically,
as in these examples
Enter your answer symbolically,
as in these examples
Transcribed Image Text:=1(a): =1(b): Suppose an undamped forced spring mass system is driven by the equation d²x di² where the Fourier series of a function is given by f(t) = cos(6t), for -л ≤ t ≤ л. Let + 9x = f(t), x(t) = ∞ Σ An cos(nt) n=1 be a particular solution. (a) Find A₁. (b) Find A6 Enter your answer symbolically, as in these examples Enter your answer symbolically, as in these examples
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