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1) Question. Surmise the two dimensional non-linear continuous dynamical system Set each constituting equation's righthand side equal to zero (i.e. define its fixed points) and

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1) Question. Surmise the two dimensional non-linear continuous dynamical system Set each constituting equation's righthand side equal to zero (i.e. define its fixed points) and simultaneously solve for r and y; observe that (r, y) = (0, 0) is also a solution. 2) Question. Compute the above system's Jacobian matrix and, adopting (I, y) = (0, 0) , its characteristic polynomial too, finding its eigenvalues through the correspondence of its determinant to zero

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