Problem 2. Using Wolfram Alpha (or any equivalent software), find the eigenvalues and eigenvectors of the following 3×3 system of ODEs. Then write down the general solution based on them. Hint: we discussed this in class, but once you find the eigenvalues and eigenvectors, there's not much left to do-you can immediately write down the general solution. x' (t)=x+y y' (t)=x+2y+z z(t) = 3y-z
Problem 2. Using Wolfram Alpha (or any equivalent software), find the eigenvalues and eigenvectors of the following 3×3 system of ODEs. Then write down the general solution based on them. Hint: we discussed this in class, but once you find the eigenvalues and eigenvectors, there's not much left to do-you can immediately write down the general solution. x' (t)=x+y y' (t)=x+2y+z z(t) = 3y-z
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 77E
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![Problem 2. Using Wolfram Alpha (or any equivalent software), find the eigenvalues and eigenvectors of the following
3×3 system of ODEs. Then write down the general solution based on them. Hint: we discussed this in class, but once
you find the eigenvalues and eigenvectors, there's not much left to do-you can immediately write down the general
solution.
x' (t)=x+y
y' (t)=x+2y+z
z(t) = 3y-z](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F183fa540-aa6e-4b2e-819b-0b2a4459f410%2Ff52800cc-4369-45d5-9878-7c5ae649482e%2Fhb8jwlr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2. Using Wolfram Alpha (or any equivalent software), find the eigenvalues and eigenvectors of the following
3×3 system of ODEs. Then write down the general solution based on them. Hint: we discussed this in class, but once
you find the eigenvalues and eigenvectors, there's not much left to do-you can immediately write down the general
solution.
x' (t)=x+y
y' (t)=x+2y+z
z(t) = 3y-z
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