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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

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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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=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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