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Chapter 10.4, Problem 33E

(a.)

To determine

To explain: Although this is a system of three differential equations, x and y can be analyzed separately.

(b.)

To determine

To Find: The only equilibrium of the system.

(c.)

To determine

To Find: The Jacobian matrix of the system.

(d.)

To determine

To Find: The local stability properties of the equilibrium.

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