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10. Consider the differential equation modeling the harmonic oscillator z"(t) + k°r(t) = 0 (1) What is a correct solution to the equation? (a) r = 2(sin(kt) + cos(kt)) (b) x = A cos(kt) + B sin(kt) (c) r = A cos(kt) – B sin(kt) (d) r = k² sin(t) cos(t) (e) None of the above

10. Consider the differential equation modeling the harmonic oscillator z"(t) + k°r(t) = 0 (1) What is a correct solution to the equation? (a) r = 2(sin(kt) + cos(kt)) (b) x = A cos(kt) + B sin(kt) (c) r = A cos(kt) – B sin(kt) (d) r = k² sin(t) cos(t) (e) None of the above

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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10. Consider the differential equation modeling the harmonic oscillator z"(t) + k°r(t) = 0 (1) What is a correct solution to the equation? (a) r = 2(sin(kt) + cos(kt)) (b) x = A cos(kt) + B sin(kt) (c) r = A cos(kt) – B sin(kt) (d) r = k² sin(t) cos(t) (e) None of the above
Transcribed Image Text:10. Consider the differential equation modeling the harmonic oscillator z"(t) + k°r(t) = 0 (1) What is a correct solution to the equation? (a) r = 2(sin(kt) + cos(kt)) (b) x = A cos(kt) + B sin(kt) (c) r = A cos(kt) – B sin(kt) (d) r = k² sin(t) cos(t) (e) None of the above
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