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3. Consider the equation = 0 dt for the motion of a simple harmonic oscillator. (a) Consider the funetion y(t) = cos(3t). Under what conditions on 3 is y(t) a solution? (b) What initial condition (t = 0) in the yu-plane corresponds to this solution? (c) In terms of k and m, what is the period of this solution?

3. Consider the equation = 0 dt for the motion of a simple harmonic oscillator. (a) Consider the funetion y(t) = cos(3t). Under what conditions on 3 is y(t) a solution? (b) What initial condition (t = 0) in the yu-plane corresponds to this solution? (c) In terms of k and m, what is the period of this solution?

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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3. Consider the equation = 0 dt2 for the motion of a simple harmonic oscillator. (a) Consider the function y(t) = cos(3t). Under what conditions on 3 is y(t) a solution? (b) What initial condition (t = 0) in the yu-plane corresponds to this solution? (c) In terms of k and m, what is the period of this solution?
Transcribed Image Text:3. Consider the equation = 0 dt2 for the motion of a simple harmonic oscillator. (a) Consider the function y(t) = cos(3t). Under what conditions on 3 is y(t) a solution? (b) What initial condition (t = 0) in the yu-plane corresponds to this solution? (c) In terms of k and m, what is the period of this solution?
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