Consider the systems of differential equations dx dt dy dt = For this system, the smaller eigenvalue is 0.4x + 0.5y, 1.5x - 0.6y. and the larger eigenvalue is Use the phase plotter pplane9.m in MATLAB to determine how the solution curves behave. A. The solution curves converge to different points. B. All of the solution curves run away from 0. (Unstable node) C. All of the solution curves converge towards 0. (Stable node) D. The solution curves race towards zero and then veer away towards infinity. (Saddle The solution to the above differential equation with initial values x (0) = 3, y(0) = 8 is x (t) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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Consider the systems of differential equations
dx
dt
dy
dt
=
For this system, the smaller eigenvalue is
=
=
=
0.4x + 0.5y,
1.5x – 0.6y.
Use the phase plotter pplane9.m in MATLAB to determine how the solution curves
behave.
and the larger eigenvalue is
A. The solution curves converge to different points.
B. All of the solution curves run away from 0. (Unstable node)
C. All of the solution curves converge towards 0. (Stable node)
D. The solution curves race towards zero and then veer away towards infinity. (Saddle)
The solution to the above differential equation with initial values x(0) = 3, y(0) = 8 is
x (t)
y(t)
Transcribed Image Text:Consider the systems of differential equations dx dt dy dt = For this system, the smaller eigenvalue is = = = 0.4x + 0.5y, 1.5x – 0.6y. Use the phase plotter pplane9.m in MATLAB to determine how the solution curves behave. and the larger eigenvalue is A. The solution curves converge to different points. B. All of the solution curves run away from 0. (Unstable node) C. All of the solution curves converge towards 0. (Stable node) D. The solution curves race towards zero and then veer away towards infinity. (Saddle) The solution to the above differential equation with initial values x(0) = 3, y(0) = 8 is x (t) y(t)
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