DIFFERENTIAL EQUATIONS-NEXTGEN WILEYPLUS

3rd Edition

ISBN: 9781119764564

Author: BRANNAN

Publisher: WILEY

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Textbook Question

Chapter 3.6, Problem 9P

For each of the systems in Problem $7$ through $12$ :

a) Find all of the critical points.

b) Find an equation of the form $H ( x , y ) = C$ satisfied by the solutions of the given system.

c) Using a computer, plot several level curves of the function $H$ . These are trajectories of the given system. Indicate the direction of motion on each trajectory.

d) Describe behaviour of the trajectories near each critical point.

$d x d t = 2 x − 4 y , d y d t = 2 x − 2 y$

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Chapter 3.6, Problem 8P

Chapter 3.6, Problem 10P

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Chapter 3 Solutions

DIFFERENTIAL EQUATIONS-NEXTGEN WILEYPLUS

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