In Exercises 15-18, for the equation specified, (a) determine the frequency of the beats, (b) determine the frequency of the rapid oscillations, and (c) use the information from parts (a) and (b) to give a rough sketch of a typical solu- tion. [Hint: You should be able to do this sketch with no further calculation.] d²y 9t 15. +4y = COS d²y 16. dt2 +11y = 2 cos 3t 4 dt2 d²y 17. d²y +5y = 3 cos 2t 18. dt2 +6y = cos 2t dt2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Number 15 only please!!!

In Exercises 15-18, for the equation specified,
(a) determine the frequency of the beats,
(b) determine the frequency of the rapid oscillations, and
(c) use the information from parts (a) and (b) to give a rough sketch of a typical solu-
tion. [Hint: You should be able to do this sketch with no further calculation.]
d²y
9t
15.
+4y = COS
d²y
16.
dt2
+11y = 2 cos 3t
4
dt2
d²y
17.
d²y
+5y = 3 cos 2t
18.
dt2
+6y = cos 2t
dt2
Transcribed Image Text:In Exercises 15-18, for the equation specified, (a) determine the frequency of the beats, (b) determine the frequency of the rapid oscillations, and (c) use the information from parts (a) and (b) to give a rough sketch of a typical solu- tion. [Hint: You should be able to do this sketch with no further calculation.] d²y 9t 15. +4y = COS d²y 16. dt2 +11y = 2 cos 3t 4 dt2 d²y 17. d²y +5y = 3 cos 2t 18. dt2 +6y = cos 2t dt2
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