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Which of the following forced 2nd order equations has solutions clearly exhibiting beats? Ⓒ+2y=10 cos(t) Ⓒy+ly=2cos (21) +9y=1 cos(3) All of the above None of the above Recall that a forced, undamped, 2nd order linear differential equation y" + ay = cos(at) has solutions displaying beats when √a-w

Which of the following forced 2nd order equations has solutions clearly exhibiting beats? Ⓒ+2y=10 cos(t) Ⓒy+ly=2cos (21) +9y=1 cos(3) All of the above None of the above Recall that a forced, undamped, 2nd order linear differential equation y" + ay = cos(at) has solutions displaying beats when √a-w

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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Which of the following forced 2nd order equations has solutions clearly exhibiting beats? Ⓒ/+2y=10 cos(t) Oy+ly 2 cos (21) +9y=1 cos(3t) All of the above O None of the above Recall that a forced, undamped, 2nd order linear differential equation y" + ay = cos(wt) has solutions displaying beats when √a-w<, where is small." In other words, we see beats when the natural frequency is close to the same frequency as the forcing function.
Transcribed Image Text:Which of the following forced 2nd order equations has solutions clearly exhibiting beats? Ⓒ/+2y=10 cos(t) Oy+ly 2 cos (21) +9y=1 cos(3t) All of the above O None of the above Recall that a forced, undamped, 2nd order linear differential equation y" + ay = cos(wt) has solutions displaying beats when √a-w<, where is small." In other words, we see beats when the natural frequency is close to the same frequency as the forcing function.
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