Problem 2: The characteristic equation of a certain system is s²+ 8ds+ 32d²=0, where d is aconstant. (a) For what values of d is the system stable? (b) Is there a value of d for which the freeresponse will consist of oscillations with constant amplitude?

We have given a 2nd order characteristics equation Firstly we find condition of stable Then we…

Answered: Problem 2: The characteristic equation…

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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Problem 2: The characteristic equation of a certain system is s²+ 8ds+ 32d²=0, where d is a constant. (a) For what values of d is the system stable? (b) Is there a value of d for which the free response will consist of oscillations with constant amplitude?