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A damped oscillation is described by following equation: 1 dy d²y 1 dy bdt ·+bat adt² 1 cy= √ y = 0 a) Use complex exponential function to solve this equation, namely find y(t), similar to the damped mass-spring oscillation discussed in lecture notes. Here a, b and c are constants. b) Determine the mathematical conditions for under damped oscillation.

A damped oscillation is described by following equation: 1 dy d²y 1 dy bdt ·+bat adt² 1 cy= √ y = 0 a) Use complex exponential function to solve this equation, namely find y(t), similar to the damped mass-spring oscillation discussed in lecture notes. Here a, b and c are constants. b) Determine the mathematical conditions for under damped oscillation.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A damped oscillation is described by following equation: d²y 1 dy 1 + dt2 'b dt a b dt *y = 0 a) Use complex exponential function to solve this equation, namely find y(t), similar to the damped mass-spring oscillation discussed in lecture notes. Here a, b and c are constants. b) Determine the mathematical conditions for under damped oscillation.
Transcribed Image Text:A damped oscillation is described by following equation: d²y 1 dy 1 + dt2 'b dt a b dt *y = 0 a) Use complex exponential function to solve this equation, namely find y(t), similar to the damped mass-spring oscillation discussed in lecture notes. Here a, b and c are constants. b) Determine the mathematical conditions for under damped oscillation.
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