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

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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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