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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 −ë ≤ 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

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 −ë ≤ 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

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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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 −ñ ≤ t ≤ л. Let 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: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 −ñ ≤ t ≤ л. Let 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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