Show that (0, 0) is always an unstable critical point of the linear system x' = x + y y'

Chapter 11, Problem 19

(choose chapter or problem)

Show that (0, 0) is always an unstable critical point of the linear system x' = x + y y' = -x + y, whereis areal constant and =fa -1. When is (0, 0) an unstable saddle point? When is (0, 0) an unstable spiral point?

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