Solved: In each of 1 through 3, verify that (0, 0) is a critical point, show that the

Chapter 9, Problem 2

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In each of 1 through 3, verify that (0, 0) is a critical point, show that the system is locally linear, and discuss the type and stability of the critical point (0, 0) by examining the corresponding linear system.dx/dt = (1 + x) sin y, dy/dt = 1 x cos y

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