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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43ec7815-0f86-4fc2-9645-53d4e09a5230%2F6870e98c-e6d4-4118-a444-4b147dbc4072%2Fll8a6vg_processed.jpeg&w=3840&q=75)
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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