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In H1.2), you considered the differential equation 1)=√x(1) = x-x²³. dt Now, consider the related equation d = x(t) = -x-x³; Find the equilibria of this related system and compare their stability with what you found in H1.2).

In H1.2), you considered the differential equation 1)=√x(1) = x-x²³. dt Now, consider the related equation d = x(t) = -x-x³; Find the equilibria of this related system and compare their stability with what you found in H1.2).

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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In H1.2), you considered the differential equation d 1) x(t)=x-x³. dt Now, consider the related equation i) d x(t) = -x-x³; dt Find the equilibria of this related system and compare their stability with what you found in H1.2).
Transcribed Image Text:In H1.2), you considered the differential equation d 1) x(t)=x-x³. dt Now, consider the related equation i) d x(t) = -x-x³; dt Find the equilibria of this related system and compare their stability with what you found in H1.2).
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