In a damped oscillation system, the step response is given by: c(t) = 7 – 7e-0.6t cos 3t , t> 0 (a) Use the graphical estimation method (by hand) to estimate all solutions of c(t) = 7.35. (b) Identify all roots of the equation c(t) = 7.35 using Bi-section Method. You are required to continue with the iterations until you reach an absolute error below 0.0001. (c) Identify all roots of the equation c(t) = 7.35 using Newton-Raphson Method. You are required to continue with iterations to reach an absolute error below 0.0001. (d) Compare between applied methods in terms of applicability, accuracy, and speed. Support your comments using findings above.
In a damped oscillation system, the step response is given by: c(t) = 7 – 7e-0.6t cos 3t , t> 0 (a) Use the graphical estimation method (by hand) to estimate all solutions of c(t) = 7.35. (b) Identify all roots of the equation c(t) = 7.35 using Bi-section Method. You are required to continue with the iterations until you reach an absolute error below 0.0001. (c) Identify all roots of the equation c(t) = 7.35 using Newton-Raphson Method. You are required to continue with iterations to reach an absolute error below 0.0001. (d) Compare between applied methods in terms of applicability, accuracy, and speed. Support your comments using findings above.
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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c only at root 0.5 plsss
Transcribed Image Text:Activity 2:
In a damped oscillation system, the step response is given by: c(t) = 7 – 7e-0.6t cos 3t , t> 0
(a) Use the graphical estimation method (by hand) to estimate all solutions of c(t) = 7.35.
(b) Identify all roots of the equation c(t) = 7.35 using Bi-section Method. You are required
to continue with the iterations until you reach an absolute error below 0.0001.
(c) Identify all roots of the equation c(t) = 7.35 using Newton-Raphson Method. You are
required to continue with iterations to reach an absolute error below 0.0001.
(d) Compare between applied methods in terms of applicability, accuracy, and speed. Support
your comments using findings above.
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