Find the critical points of a' = x(1 – x - y) 3/ = y(1.5 – y – r) Discuss the type and stability of the critical points. Draw the phase plane showing some trajectories. find the eigenvectors of each critical point to make a careful sketch.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the critical points of
a' = x(1 – x – y)
yf = y(1.5 – y – x)
Discuss the type and stability of the critical points.
Draw the phase plane showing some trajectories.
find the eigenvectors of each critical point to make a careful sketch.
Transcribed Image Text:Find the critical points of a' = x(1 – x – y) yf = y(1.5 – y – x) Discuss the type and stability of the critical points. Draw the phase plane showing some trajectories. find the eigenvectors of each critical point to make a careful sketch.
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