Consider the linear sytem of ODEs x'=3x+13y y'=3x-7y x=x(t), y=y(t) A) Set up a matrix B and write the system in the form x->'=Bx and determine the eigenvalues of the matrix B B) Determine the corresponding eigenvectors C) Find the general solution
Consider the linear sytem of ODEs x'=3x+13y y'=3x-7y x=x(t), y=y(t) A) Set up a matrix B and write the system in the form x->'=Bx and determine the eigenvalues of the matrix B B) Determine the corresponding eigenvectors C) Find the general solution
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Consider the linear sytem of ODEs
x'=3x+13y
y'=3x-7y
x=x(t), y=y(t)
A) Set up a matrix B and write the system in the form x->'=Bx
and determine the eigenvalues of the matrix B
B) Determine the corresponding eigenvectors
C) Find the general solution
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