Using Theorem 9.7.2, show that the linear autonomous system dx/dt = a11x + a12y, dy/dt =
Chapter 9, Problem 10(choose chapter or problem)
Using Theorem 9.7.2, show that the linear autonomous system dx/dt = a11x + a12y, dy/dt = a21x + a22y does not have a periodic solution (other than x = 0, y = 0) if a11 + a22 = 0.
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