Answered: Consider a linear system: x`= ux + y,…

Consider a linear system: x`= ux + y, y`= -x + y, where u is a real constant. When is (0,0) an unstable saddle point? 2 when is (0,0) an unstable spiral point?

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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Consider a linear system: x`= ux + y, y`= -x + y, where u is a real constant. When is (0,0) an unstable saddle point?

2 when is (0,0) an unstable spiral point?

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