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Given the differential equation mx" + cx' + kx = Eo cos wt + Fo sin wt -with both cosine and sine forcing terms-derive the steady periodic solution |E¿ + F? V(k – mw²)² + (co)² Xsp(t) = cos(@t – a – B). where a is defined in Eq. (22) and ß tan-'(Fo/Eo). %3D

Given the differential equation mx" + cx' + kx = Eo cos wt + Fo sin wt -with both cosine and sine forcing terms-derive the steady periodic solution |E¿ + F? V(k – mw²)² + (co)² Xsp(t) = cos(@t – a – B). where a is defined in Eq. (22) and ß tan-'(Fo/Eo). %3D

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the differential equation mx" + cx' + kx = Eo cos wt + Fo sin wt -with both cosine and sine forcing terms-derive the steady periodic solution |E¿ + F? V(k – mw²)² + (co)² Xsp(t) = cos(@t – a – B). where a is defined in Eq. (22) and ß tan-'(Fo/Eo). %3D
Transcribed Image Text:Given the differential equation mx" + cx' + kx = Eo cos wt + Fo sin wt -with both cosine and sine forcing terms-derive the steady periodic solution |E¿ + F? V(k – mw²)² + (co)² Xsp(t) = cos(@t – a – B). where a is defined in Eq. (22) and ß tan-'(Fo/Eo). %3D
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