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H2. Use a graphical argument to find the equilibria and determine their stability for d x(t) = e¯* - cos(x) Hint: Consider x € (2nл, 2(n+1)л) for some sufficiently large n. What does ex look like in this interval? How can you use the graphs of e* and cos(x) to determine the sign of x?

H2. Use a graphical argument to find the equilibria and determine their stability for d x(t) = e¯* - cos(x) Hint: Consider x € (2nл, 2(n+1)л) for some sufficiently large n. What does ex look like in this interval? How can you use the graphs of e* and cos(x) to determine the sign of x?

Advanced Engineering Mathematics
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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H2. Use a graphical argument to find the equilibria and determine their stability for d dt x(t) = e¯* _ cos(x) Hint: Consider x = (2nл, 2(n+1)л) for some sufficiently large n. What does e* look like in this interval? How can you use the graphs of e* and cos(x) to determine the sign of x?
Transcribed Image Text:H2. Use a graphical argument to find the equilibria and determine their stability for d dt x(t) = e¯* _ cos(x) Hint: Consider x = (2nл, 2(n+1)л) for some sufficiently large n. What does e* look like in this interval? How can you use the graphs of e* and cos(x) to determine the sign of x?
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