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each exercise, the figure shows the graph of the solution of an initial value proble + ay' + by = 0, y(0) = yo•y' (0) = yo- Use the information given to express the sol n in the form y(1) = R cos(Bt – 8), where 0 < 8 < 27. Determine the constants a, b, y

each exercise, the figure shows the graph of the solution of an initial value proble + ay' + by = 0, y(0) = yo•y' (0) = yo- Use the information given to express the sol n in the form y(1) = R cos(Bt – 8), where 0 < 8 < 27. Determine the constants a, b, y

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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Please do #27

 

section 3.5

Exercises 27-29: In each exercise, the figure shows the graph of the solution of an initial value problem y" + ay + by = 0, y(0) = yo-y'(0) = yo. Use the information given to express the solu- tion in the form y(t) = R cos(ßt – 8), where 0 < 8 < 27. Determine the constants a, b, yo, and yo- 27. The graph has a maximum value at (0, 2) and a t-intercept at (1, 0). 28. The graph has a maximum value at (7/12, 1) and a t-intercept at (57/12, 0). y 0.8 04 -2 -2 2 -0.4 -0.8
Transcribed Image Text:Exercises 27-29: In each exercise, the figure shows the graph of the solution of an initial value problem y" + ay + by = 0, y(0) = yo-y'(0) = yo. Use the information given to express the solu- tion in the form y(t) = R cos(ßt – 8), where 0 < 8 < 27. Determine the constants a, b, yo, and yo- 27. The graph has a maximum value at (0, 2) and a t-intercept at (1, 0). 28. The graph has a maximum value at (7/12, 1) and a t-intercept at (57/12, 0). y 0.8 04 -2 -2 2 -0.4 -0.8
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