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2. For the following nonlinear system, sketch the nullclines in the xy-plane, clearly marking which has x' =0 and which has y' = 0 .

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2. For the following nonlinear system, sketch the nullclines in the xy-plane, clearly marking which has x' =0 and which has y' = 0 . Find the equilibrium points and use the local linearization of the system to classify each of them. dx dt =2x - 2x2 - xy dt dy = 2y- xy-2y2

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