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

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Answer 1

Question

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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Answer 2

Question

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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Answer 3

Question

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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Answer 4

Question

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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Answer 5

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.

Answer 6

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.

Answer 7

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.

Answer 8

(b.)

To determine

To Find: The only equilibrium of the system.

Answer 9

(b.)

To determine

To Find: The only equilibrium of the system.

Answer 10

(c.)

To determine

To Find: The Jacobian matrix of the system.

Answer 11

(c.)

To determine

To Find: The Jacobian matrix of the system.

Answer 12

(d.)

To determine

To Find: The local stability properties of the equilibrium.

Answer 13

(d.)

To determine

To Find: The local stability properties of the equilibrium.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 10.1 - Prob. 12E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 38E Ch. 10.2 - Prob. 39E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 9E Ch. 10.4 - Prob. 1E Ch. 10.4 - Prob. 12E Ch. 10.4 - Prob. 15E

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

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

To Find: The only equilibrium of the system.

To Find: The Jacobian matrix of the system.

To Find: The local stability properties of the equilibrium.

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Chapter 10 Solutions