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dY AY where A is a matrix with the following eigenvalues and their associated eigenvectors: dt (E) 3 1 d1 = -5, V1 = d2 = 3+2i, V2 = A3 = 3 – 2i, V3 1 1 x(t) y(t) z(t) ()- and Y(t) = is the unknown vector function (i) Find the general real-valued solution of the system (ii) Use (i) to determine if the origin is a source, or a sink, or a saddle

dY AY where A is a matrix with the following eigenvalues and their associated eigenvectors: dt (E) 3 1 d1 = -5, V1 = d2 = 3+2i, V2 = A3 = 3 – 2i, V3 1 1 x(t) y(t) z(t) ()- and Y(t) = is the unknown vector function (i) Find the general real-valued solution of the system (ii) Use (i) to determine if the origin is a source, or a sink, or a saddle

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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Show all your work.The system of three linear DE can be written in the form

ZOOM + dY AY where A is a matrix with the following eigenvalues and their associated eigenvectors: dt () () 3 1 -5, V1 A2 = 3+2 i, V2 = 13 = 3 – 2 i, V3 = 1 x(t) y(t) z(t) and Y(t) is the unknown vector function (i) Find the general real-valued solution of the system (ii) Use (i) to determine if the origin is a source, or a sink, or a saddle
Transcribed Image Text:ZOOM + dY AY where A is a matrix with the following eigenvalues and their associated eigenvectors: dt () () 3 1 -5, V1 A2 = 3+2 i, V2 = 13 = 3 – 2 i, V3 = 1 x(t) y(t) z(t) and Y(t) is the unknown vector function (i) Find the general real-valued solution of the system (ii) Use (i) to determine if the origin is a source, or a sink, or a saddle
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