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3. Consider the system of ODES dx dt dy dt =x(80 - x - y) =y(120 — x − 3y) ) Determine every fixed point. ») Determine the linear stability of each fixed point. :) Sketch a phase portrait, including nullclines. You only need to sketch the first quadrant.

3. Consider the system of ODES dx dt dy dt =x(80 - x - y) =y(120 — x − 3y) ) Determine every fixed point. ») Determine the linear stability of each fixed point. :) Sketch a phase portrait, including nullclines. You only need to sketch the first quadrant.

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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3. Consider the system of ODES dx dt dy dt =x(80 - x - y) =y(120 - x - 3y) a) Determine every fixed point. b) Determine the linear stability of each fixed point. c) Sketch a phase portrait, including nullclines. You only need to sketch the first quadrant.
Transcribed Image Text:3. Consider the system of ODES dx dt dy dt =x(80 - x - y) =y(120 - x - 3y) a) Determine every fixed point. b) Determine the linear stability of each fixed point. c) Sketch a phase portrait, including nullclines. You only need to sketch the first quadrant.
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