The equilibrium solution y = − b a corresponds to a horizontal line in a direction field.

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Answer 1

Question

Chapter 9.2, Problem 44E

a.

To determine

To explain: The equilibrium solution y=−ba corresponds to a horizontal line in a direction field.

b.

To determine

To show: The solution increases for A>ba and the solution decreases and for A<ba and to plot the direction field for a>0 .

c.

To determine

To show: The solution increases for A<−ba for t>0 and the solution decreases for A>−ba at t>0 and to plot the direction in the case at a<0 .

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Answer 2

Question

Chapter 9.2, Problem 44E

a.

To determine

To explain: The equilibrium solution y=−ba corresponds to a horizontal line in a direction field.

b.

To determine

To show: The solution increases for A>ba and the solution decreases and for A<ba and to plot the direction field for a>0 .

c.

To determine

To show: The solution increases for A<−ba for t>0 and the solution decreases for A>−ba at t>0 and to plot the direction in the case at a<0 .

Expert Solution & Answer

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Answer 3

Question

Chapter 9.2, Problem 44E

a.

To determine

To explain: The equilibrium solution y=−ba corresponds to a horizontal line in a direction field.

b.

To determine

To show: The solution increases for A>ba and the solution decreases and for A<ba and to plot the direction field for a>0 .

c.

To determine

To show: The solution increases for A<−ba for t>0 and the solution decreases for A>−ba at t>0 and to plot the direction in the case at a<0 .

Expert Solution & Answer

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Answer 4

Question

Chapter 9.2, Problem 44E

a.

To determine

To explain: The equilibrium solution y=−ba corresponds to a horizontal line in a direction field.

b.

To determine

To show: The solution increases for A>ba and the solution decreases and for A<ba and to plot the direction field for a>0 .

c.

To determine

To show: The solution increases for A<−ba for t>0 and the solution decreases for A>−ba at t>0 and to plot the direction in the case at a<0 .

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 5

Chapter 9.2, Problem 44E

a.

To determine

To explain: The equilibrium solution y=−ba corresponds to a horizontal line in a direction field.

b.

To determine

To show: The solution increases for A>ba and the solution decreases and for A<ba and to plot the direction field for a>0 .

c.

To determine

To show: The solution increases for A<−ba for t>0 and the solution decreases for A>−ba at t>0 and to plot the direction in the case at a<0 .

Answer 6

Chapter 9.2, Problem 44E

a.

To determine

To explain: The equilibrium solution y=−ba corresponds to a horizontal line in a direction field.

Answer 7

Chapter 9.2, Problem 44E

a.

To determine

To explain: The equilibrium solution y=−ba corresponds to a horizontal line in a direction field.

Answer 8

b.

To determine

To show: The solution increases for A>ba and the solution decreases and for A<ba and to plot the direction field for a>0 .

Answer 9

b.

To determine

To show: The solution increases for A>ba and the solution decreases and for A<ba and to plot the direction field for a>0 .

Answer 10

c.

To determine

To show: The solution increases for A<−ba for t>0 and the solution decreases for A>−ba at t>0 and to plot the direction in the case at a<0 .

Answer 11

c.

To determine

To show: The solution increases for A<−ba for t>0 and the solution decreases for A>−ba at t>0 and to plot the direction in the case at a<0 .

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 9.1 - What are the orders of the equations in Example 2?...Ch. 9.1 - Prob. 2QC Ch. 9.1 - Prob. 3QC Ch. 9.1 - Prob. 4QC Ch. 9.1 - In Example 7, if the height function were given by...Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - The solution to the initial value problem y(t) = 2...

The equilibrium solution y = − b a corresponds to a horizontal line in a direction field.

Solution Summary: The equilibrium solution y=-ba is constant function, which represents the line segment.

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To explain: The equilibrium solution y=−ba corresponds to a horizontal line in a direction field.

To show: The solution increases for A>ba and the solution decreases and for A<ba and to plot the direction field for a>0 .

To show: The solution increases for A<−ba for t>0 and the solution decreases for A>−ba at t>0 and to plot the direction in the case at a<0 .

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Chapter 9 Solutions