Show that the linearization of (3) at (20, 0) is u' = -60u80v, V i = 2v. Then show that

Chapter 7, Problem 7.4.9

(choose chapter or problem)

Show that the linearization of (3) at (20, 0) is u' = -60u80v, V i = 2v. Then show that the coefficient matrix of this linear system has the negative eigenvalue Al = -60 and the positive eigenvalue A2 = 2. Hence (20, 0) is a saddle point for the system in (3)

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