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H5. Consider the scalar differential equation d ax(1) = a + sin(x) where a is a real number. For what values of a does x have a) infinitely many equilibria? b) 0 equilibria? If x has 0 equilibria, determine values of a such that x(t) is increasing for all time

H5. Consider the scalar differential equation d ax(1) = a + sin(x) where a is a real number. For what values of a does x have a) infinitely many equilibria? b) 0 equilibria? If x has 0 equilibria, determine values of a such that x(t) is increasing for all time

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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H5. Consider the scalar differential equation d ax(1) = a +sin(x) where a is a real number. For what values of a does x have a) infinitely many equilibria? b) 0 equilibria? If x has 0 equilibria, determine values of a such that x(t) is increasing for all time
Transcribed Image Text:H5. Consider the scalar differential equation d ax(1) = a +sin(x) where a is a real number. For what values of a does x have a) infinitely many equilibria? b) 0 equilibria? If x has 0 equilibria, determine values of a such that x(t) is increasing for all time
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