Question: Please answer the question in the second image. It is a question about the exercise in the first image. Thanks!! 8.2.5 Exercises Exercise 8.2.1: For

Please answer the question in the second image.

It is a question about the exercise in the first image. Thanks!!

Please answer the question in the second image.It is a question aboutthe exercise in the first image. Thanks!! 8.2.5 Exercises Exercise 8.2.1: For

8.2.5 Exercises Exercise 8.2.1: For the systems below, find and classify the critical points, also indicate if the equilibria are stable, asymptotically stable, or unstable. a) x' = -x + 3x2, y' = -y b) x' = x2+ y? - 1, y' = x c) x' = yet, y' = y - x+ yzOn question 8.2.1 Part b, Equilibrium at (0, 1) follows a Saddle unstable behaviour, as listed in the table in the book. However (0, -1) is a Center, and the table does mention a Center. I may have just done the problem wrong, but if we do get an equilibrium as a Center, what do we qualify it as (stable, asymptotically stable, or unstable) and why

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