Here we have a system of differential equations. (dx/dt) = 11x + 8y, (dy/dt) = 8x - y. The coefficient matrix, [11 8] [8 -1] has eigenvectors: [1] and [2] [-2] [1] With corresponding eigenvalues of -5 and 15. what is the general solution of this system?
Here we have a system of differential equations. (dx/dt) = 11x + 8y, (dy/dt) = 8x - y. The coefficient matrix, [11 8] [8 -1] has eigenvectors: [1] and [2] [-2] [1] With corresponding eigenvalues of -5 and 15. what is the general solution of this system?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 62CR
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Here we have a system of differential equations.
(dx/dt) = 11x + 8y, (dy/dt) = 8x - y.
The coefficient matrix,
[11 8]
[8 -1]
has eigenvectors:
[1] and [2]
[-2] [1]
With corresponding eigenvalues of -5 and 15.
what is the general solution of this system?
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