2. Consider the following dynamical system on the plane: x = (x-3)(y-2), y = yx²-x. X. (a) Determine the location of the equilibrium points and use linear stability analysis to classify them. When the eigenvalues are real, compute the eigenvectors. (b) Sketch the phase portrait of the system - this must include: equilibria, local behaviour at the equilibria, isoclines and global behaviour.

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