4) solve the homogeneaus syskm # = -4x - «y a) find the characteristic equaton 6) solve for thhe eigenvalues solue for ome zigenvector es a sum af 2 vectors (eg, red maginery par the system d) Write the eigenvector en matrik fom ej Defermine the a solutions of f) write out the goneral slution of the system linear smbination of the 2 solutions.
4) solve the homogeneaus syskm # = -4x - «y a) find the characteristic equaton 6) solve for thhe eigenvalues solue for ome zigenvector es a sum af 2 vectors (eg, red maginery par the system d) Write the eigenvector en matrik fom ej Defermine the a solutions of f) write out the goneral slution of the system linear smbination of the 2 solutions.
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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Transcribed Image Text:4) solve the homogeneous system
4X t54
ニ
dy
14メ-4
a) find the characteristic eşuation
6) solue for the eigenvalues
c) solue for one eigenvector
d) Write the eigenvector as a sum of 2 vectors (e red t cmaginery)
the system
in matrik form
ej Defermine the a solutions of
f) Write out the speneral sution
of the system
as a linear eombination of the 2 solutions.
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Transcribed Image Text:4) solve the homogeneous system
4X t54
ニ
dy
14メ-4
a) find the characteristic eşuation
6) solue for the eigenvalues
c) solue for one eigenvector
d) Write the eigenvector as a sum of 2 vectors (e red t cmaginery)
the system
in matrik form
ej Defermine the a solutions of
f) Write out the speneral sution
of the system
as a linear eombination of the 2 solutions.
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