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

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.5: Trigonometric Graphs

Problem 6E

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