In 2942, we consider differential equations of the form dx dt = Ax(t) where A = a11 a12

Chapter 11, Problem 29

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In 2942, we consider differential equations of the form dx dt = Ax(t) where A = a11 a12 a21 a22 The eigenvalues of A will be real, distinct, and nonzero. Analyze the stability of the equilibrium (0, 0), and classify the equilibrium according to whether it is a sink, a source, or a saddle point. A = _ 2 1 0 3 _

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