2 x=x+y+y у ту бу-ху = -14x Nacce"
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
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Determine stability of zero solution of ODE system :
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Expert Solution
Step 1
Stability of Zero Solution:
The zero solution to a system of ordinary differential equation is the origin. When all other solutions nearby the origin are attracted towards the origin, then the origin is referred to as stable. Otherwise, it is unstable. The Jacobian matrix and the sign of real parts of the eigenvalues at the origin are very significant.
Given:
Given system is,
To Determine:
We determine the stability of the zero solution.
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