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Consider the following system. = 7x + y, dx dy dt dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) A-6-1,6+i Find an eigenvector corresponding to the eigenvalue with positive imaginary part. K= = -2x + 5y Find the general solution of the given system. (x(t), y(t)) - et (cos(t) (1, -2)-sin(t) (1,0)), et (cos(r) (1,0) + sin(t) (1, -2)) Need Help? Read It x

Consider the following system. = 7x + y, dx dy dt dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) A-6-1,6+i Find an eigenvector corresponding to the eigenvalue with positive imaginary part. K= = -2x + 5y Find the general solution of the given system. (x(t), y(t)) - et (cos(t) (1, -2)-sin(t) (1,0)), et (cos(r) (1,0) + sin(t) (1, -2)) Need Help? Read It x

Advanced Engineering Mathematics
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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Consider the following system. dx dy = -2x + 5y dt dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) A-6-1,6+i = 7x + y, Find an eigenvector corresponding to the eigenvalue with positive imaginary part. K= Find general solution of the given system. (x(t), y(t)) - et (cos(t) (1, -2)-sin(t) (1,0)), et (cos(r) (1,0) + sin() (1, -2)) Need Help? Read It x
Transcribed Image Text:Consider the following system. dx dy = -2x + 5y dt dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) A-6-1,6+i = 7x + y, Find an eigenvector corresponding to the eigenvalue with positive imaginary part. K= Find general solution of the given system. (x(t), y(t)) - et (cos(t) (1, -2)-sin(t) (1,0)), et (cos(r) (1,0) + sin() (1, -2)) Need Help? Read It x
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