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Suppose a system of differential equations can be written in matrix form as dx dt dy U dt x(t) = where A is a 3 x 3 matrix. = x = = Ay If A has eigenvalues 7, -1, 8 with corresponding eigenvectors y(t) z(t) = = Z general solution the system. (Use c₁ for terms involving eigenvalue 7, c₂ for terms involving eigenvalue - 1, and c3 for terms involving eigenvalue 8.) 400 -2 1 write the

Suppose a system of differential equations can be written in matrix form as dx dt dy U dt x(t) = where A is a 3 x 3 matrix. = x = = Ay If A has eigenvalues 7, -1, 8 with corresponding eigenvectors y(t) z(t) = = Z general solution the system. (Use c₁ for terms involving eigenvalue 7, c₂ for terms involving eigenvalue - 1, and c3 for terms involving eigenvalue 8.) 400 -2 1 write the

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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Suppose a system of differential equations can be written in matrix form as ***** dx dt dy dt dz dt x = = Ay where A is a 3 x 3 matrix. If A has eigenvalues 7, -1,8 with corresponding eigenvectors DOO- -2 0 I write the general solution to the system. (Use c₁ for terms involving eigenvalue 7, c₂ for terms involving eigenvalue –1, and c3 for terms involving eigenvalue 8.) x(t) = y(t) = z(t) =
Transcribed Image Text:Suppose a system of differential equations can be written in matrix form as ***** dx dt dy dt dz dt x = = Ay where A is a 3 x 3 matrix. If A has eigenvalues 7, -1,8 with corresponding eigenvectors DOO- -2 0 I write the general solution to the system. (Use c₁ for terms involving eigenvalue 7, c₂ for terms involving eigenvalue –1, and c3 for terms involving eigenvalue 8.) x(t) = y(t) = z(t) =
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