Question: Answer and explain the following question. Consider the nonlinear system = (x - 1)(y - 2) y = ry + 4 (a) For each equilibrium

Answer and explain the following question.

Consider the nonlinear system = (x - 1)(y - 2) y = ry + 4 (a) For each equilibrium point, give (i) the equilibrium point, (ii) the linear system at that point, (iii) its eigenvalues, (iv) the real eigenvectors, and (v) the type of phase portrait. (b) Graph the phase plane of the nonlinear system

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