4. For the systems *=x-xy y=y-giả 3 = -4y + 2xy-8 y = 4y² = x² find all equilibria. Linearize at every equilibrium, find stable/unstable spaces for the linearized systems, and sketch the phase portrait of the linear flow. By the Stable Manifold Theorem the nonlinear flow is a small distortion of the linear if one stays close to the equilibrium.

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