‘or the system below, find the general solution, sketch the trajectories, being careful to nclude the eigenvector directions, and classify the type of fixed point: x=y, y=-2(x + y). f the eigenvalues are complex, write the general system in terms of sines and cosines, as bove.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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For the system below, find the general solution, sketch the trajectories, being careful to
include the eigenvector directions, and classify the type of fixed point:
x = y, y = -2(x + y).
If the eigenvalues are complex, write the general system in terms of sines and cosines, as
above.
Transcribed Image Text:For the system below, find the general solution, sketch the trajectories, being careful to include the eigenvector directions, and classify the type of fixed point: x = y, y = -2(x + y). If the eigenvalues are complex, write the general system in terms of sines and cosines, as above.
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