Given that d3 d3 d2 d2 and x d d d2 d2 , y d d 2 d2 d2 , and t log d d , prove that x x(1 x y), y y(2 x y) Plot a phase portrait in the xy plane ...

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Given that d3 d3 = d2 d2 and x = d d d2 d2 ,

Question:

Given that d3η

dτ3 = −η

d2η

dτ2 and x =

η dη

dτ

d2η

dτ2

, y=

dη

dτ

η d2η

dτ2

, and t = log

dη

dτ

, prove that

˙ x = x(1 + x + y), ˙ y = y(2 + x − y).

Plot a phase portrait in the xy plane.

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Dynamical Systems With Applications Using Mathematica

ISBN: 978-3319870892

1st Edition

Authors: Stephen Lynch

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Question Posted: Sep 20, 2024 06:04 AM

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Given that d3 d3 = d2 d2 and x = d d d2 d2 ,

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Dynamical Systems With Applications Using Mathematica

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