Question

\text { 1. } \vec{x}^{\prime}=\left[\begin{array}{ll} 2 & 3 \\ 3 & 2 \end{array}\right] \vec{x} (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. Suppose 2x2 matrix A has eigenvalues –3 and –1 with eigenvalues 1/1 and 1/-2 Find the general solution of 7' = A7. - Draw the phase portrait. (c) Classify the equilibrium solution with its stability. 1and3[:]3. Suppose 2 × 2 matrix A has eigenvalues {1/3] ans {1*1] O Find the general solution of 7' = A7. (b) Draw the phase portrait. (c) Classify the equilibrium solution with its stability.

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