Characterize the equilibrium point (0, 0) for the system x = Ax if A = 1 2 2 1 . Solve
Chapter 9, Problem 21(choose chapter or problem)
Characterize the equilibrium point (0, 0) for the system x = Ax if A = 1 2 2 1 . Solve the system of differential equations, and show that the components of the solution vector satisfy x2 + y2 = e4t (c2 1 + c2 2), (9.9.9) where c1 and c2 are constants. As t varies in Equation (9.9.9), describe the curve that is generated in the phase plane.
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