Consider this system of ODEs- x'=-2x+2y, y'=8x-2y, x=x(a), y=y(a) A) Set up a matrix B and write the system in the form x'=Bx, find the eigenvalues of B B) Determine the eigenvector for each eigenvalue C) find the general solution

Consider this system of ODEs- x'=-2x+2y, y'=8x-2y, x=x(a), y=y(a) A) Set up a matrix B and write the system in the form x'=Bx, find the eigenvalues of B B) Determine the eigenvector for each eigenvalue 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 this system of ODEs-

x'=-2x+2y, y'=8x-2y, x=x(a), y=y(a)

A) Set up a matrix B and write the system in the form x'=Bx, find the eigenvalues of B

B) Determine the eigenvector for each eigenvalue

C) find the general solution

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