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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