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?

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

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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