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
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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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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