Question about: LINE SYSTEMS: CONSTANT COEFFICIENTS, REAL EIGENVALUESThe answer has been given, please prove the process 4. Let an operator A have real, distinct eigenvalues. What condition on the eigen-values is equivalent to lim | x(t) | = ∞ for every solution x(t) to x' = Ax?4. All eigenvalues are positive.

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Answered: Let an operator A have real, distinct…

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 about: LINE SYSTEMS: CONSTANT COEFFICIENTS, REAL EIGENVALUES The answer has been given, please prove the process

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Let an operator A have real, distinct eigenvalues. What condition on the eigen- alues is equivalent to lim | x(t) | = ∞ for every solution x (t) to x' = Ax?