Sketch a number of trajectories corresponding to the following autonomous systems, and indicate the direction of motion

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Sketch a number of trajectories corresponding to the following autonomous systems,
and indicate the direction of motion for increasing t . Identify and classify any rest points
as being stable, asymptotically stable, or unstable.

a. = 1/p *x = 1P/xp =

b. dx/dt= -x, dy/dt = 2y

c. dx/dt=y, dy/dt = - 2x

d. dx/dt = -x + 1, dy/dt = -2y

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A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

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