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5. Consider the system of differential equations: dx (b) Find the eigenvalues of A. dy dt -4x + 2y 2x - 4y (a) Write this system of equations in matrix form: x' = Ax where x = y(t) (c) For each eigenvalue, find the associated eigenvector. (d) Write down the solution to the system.

5. Consider the system of differential equations: dx (b) Find the eigenvalues of A. dy dt -4x + 2y 2x - 4y (a) Write this system of equations in matrix form: x' = Ax where x = y(t) (c) For each eigenvalue, find the associated eigenvector. (d) Write down the solution to the system.

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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part C D 

5. Consider the system of differential equations: dx (b) Find the eigenvalues of A. dy dt -4x + 2y 2x - 4y (a) Write this system of equations in matrix form: x' = Ax where x = y(t) (c) For each eigenvalue, find the associated eigenvector. (d) Write down the solution to the system.
Transcribed Image Text:5. Consider the system of differential equations: dx (b) Find the eigenvalues of A. dy dt -4x + 2y 2x - 4y (a) Write this system of equations in matrix form: x' = Ax where x = y(t) (c) For each eigenvalue, find the associated eigenvector. (d) Write down the solution to the system.
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