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For the following system, dx dt = 10x - 5xy dy = dt 3y + xy − 3y² Find all the fixed points and their local stability, and then sketch a plausible phase portrait (do not forget the arrows.) Some points will be given for neatness.

For the following system, dx dt = 10x - 5xy dy = dt 3y + xy − 3y² Find all the fixed points and their local stability, and then sketch a plausible phase portrait (do not forget the arrows.) Some points will be given for neatness.

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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For the following system, dx dt = dy = dt 10x - 5xy 3y + xy - 3y² Find all the fixed points and their local stability, and then sketch a plausible phase portrait (do not forget the arrows.) Some points will be given for neatness.
Transcribed Image Text:For the following system, dx dt = dy = dt 10x - 5xy 3y + xy - 3y² Find all the fixed points and their local stability, and then sketch a plausible phase portrait (do not forget the arrows.) Some points will be given for neatness.
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