Consider the systems of differential equations For this system, the smaller eigenvalue is and the larger eigenvalue is C. The solution curves race towards zero and then veer away towards infinity. (Saddle) D. The solution curves converge to different points. The solution to the above differential equation with initial values x (0) = 2, y(0) = 7 is x(t) y(t) = = da Use the phase plotter pplane9.m in MATLAB to determine how the solution curves behave. A. All of the solution curves run away from 0. (Unstable node) B. All of the solution curves converge towards 0. (Stable node) dt dy dt = 0.3x - 0.8y, = -0.2x + 0.9y.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the systems of differential equations
For this system, the smaller eigenvalue is
and the larger eigenvalue is
The solution to the above differential equation with initial values (0) = 2, y(0) = 7 is
x(t)
y(t) =
=
da
dt
Use the phase plotter pplane9.m in MATLAB to determine how the solution curves behave.
A. All of the solution curves run away from 0. (Unstable node)
B. All of the solution curves converge towards 0. (Stable node)
C. The solution curves race towards zero and then veer away towards infinity. (Saddle)
D. The solution curves converge to different points.
dy
dt
=
0.3x - 0.8y,
= -0.2x + 0.9y.
Transcribed Image Text:Consider the systems of differential equations For this system, the smaller eigenvalue is and the larger eigenvalue is The solution to the above differential equation with initial values (0) = 2, y(0) = 7 is x(t) y(t) = = da dt Use the phase plotter pplane9.m in MATLAB to determine how the solution curves behave. A. All of the solution curves run away from 0. (Unstable node) B. All of the solution curves converge towards 0. (Stable node) C. The solution curves race towards zero and then veer away towards infinity. (Saddle) D. The solution curves converge to different points. dy dt = 0.3x - 0.8y, = -0.2x + 0.9y.
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