Show that the coefficient matrix of the linearization x0 D

Chapter , Problem 11

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Show that the coefficient matrix of the linearization x0 D 5x, y0 D 2y of (4) at .0; 0/ has the positive eigenvalue 1 D 5 and the negative eigenvalue 2 D 2. Hence .0; 0/ is a saddle point of the system in (4).

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