# 5.4 Equilibrium Solutions and Phase Portraits 1. 2 3 3 2 . (a) Draw direction field....

5.4 Equilibrium Solutions and Phase Portraits 1. 2 3 3 2 . (a) Draw direction field. Use the points: (0,0), (+1,0), (0, +1), (+1, +1). (b) Draw the phase portrait. (c) Classify the equilibrium solution with its stability. 11 and 2. Suppose 2 x 2 matrix A has eigenvalues – 3 and -1 with eigenvectors respectively. (a) Find the general solution of 7' = A. (b) Draw the phase portrait. (C) Classify the equilibrium solution with its stability. 3. Suppose 2 x 2 matrix A has eigenvalues 2 and 3 with eigenvectors respectively. [ 3 ] and [1] (a) Find the general solution of ' = AT. (b) Draw the phase portrait. (c) Classify the equilibrium solution with its stability.

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