a'=(1 + a )(-6*a+3*b) b'=(1 - b)(3*a - 6*b) prove that origin of the equation is a equillibrium for the system and classify the equillibrium (source sink saddle center spiral)

a'=(1 + a )(-6a+3b) b'=(1 - b)(3a - 6b) prove that origin of the equation is a equillibrium for the system and classify the equillibrium (source sink saddle center spiral)

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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Question

a'=(1 + a )(-6*a+3*b)

b'=(1 - b)(3*a - 6*b)

prove that origin of the equation is a equillibrium for the system and classify the equillibrium (source sink saddle center spiral)

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