Consider the following system. xp 3 8х + 13у dt dy = -2x + 10y dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) = Find an eigenvector corresponding to the eigenvalue with positive imaginary part. K = Find the general solution of the given system. (x(t), Y(t)

Consider the following system. xp 3 8х + 13у dt dy = -2x + 10y dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) = Find an eigenvector corresponding to the eigenvalue with positive imaginary part. K = Find the general solution of the given system. (x(t), Y(t)

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 following system.
dx
3 8х + 13у
dt
dy
= -2x + 10y
dt
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
Find an eigenvector corresponding to the eigenvalue with positive imaginary part.
K =
Find the general solution of the given system.
(x(t), y(t)) =

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