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Take the system' = 5x - xy, How many critical points are there? What is the critical point with the largest x-coordinate? The linearization at this point is y' = 9y + x² A = = A where A is At this point the behavior is For behavior write one of "saddle", "source", "sink", "spiral sink", "spiral source", "center".

Take the system' = 5x - xy, How many critical points are there? What is the critical point with the largest x-coordinate? The linearization at this point is y' = 9y + x² A = = A where A is At this point the behavior is For behavior write one of "saddle", "source", "sink", "spiral sink", "spiral source", "center".

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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Take the system' = 5x - xy, How many critical points are there? What is the critical point with the largest x-coordinate? The linearization at this point is y' = 9y + x² A = = A where A is At this point the behavior is For behavior write one of "saddle", "source", "sink", "spiral sink", "spiral source", "center".
Transcribed Image Text:Take the system' = 5x - xy, How many critical points are there? What is the critical point with the largest x-coordinate? The linearization at this point is y' = 9y + x² A = = A where A is At this point the behavior is For behavior write one of "saddle", "source", "sink", "spiral sink", "spiral source", "center".
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