consider the following simultaneous linear differential equations:  (dx/dt) = -11x + 7y, (dy/dt) = -21x + 17y  1. What is this system of equations expressed in matrix form?  2. What are the eigenvalues & eigenvectors of the matrix of coefficients?  3. What is the general solution of the system?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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You're asked to consider the following simultaneous linear differential equations: 

(dx/dt) = -11x + 7y, (dy/dt) = -21x + 17y 

1. What is this system of equations expressed in matrix form? 
2. What are the eigenvalues & eigenvectors of the matrix of coefficients? 
3. What is the general solution of the system? 

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