To verify: 3 x 2 − y 2 = 3 is a one-parameter family of solutions of the given differential equation.

Question

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Answer 1

Question

Chapter 1.2, Problem 33E

(a)

To determine

To verify: 3x2−y2=3 is a one-parameter family of solutions of the given differential equation.

(b)

To determine

To sketch: The graph of the implicit solution 3x2−y2=3.

And to determine all the explicit solutions of the differential equation in part (a) with their respective interval of definition.

(c)

To determine

Determine the explicit solution in part (b) that satisfies y(−2)=3.

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Answer 2

Question

Chapter 1.2, Problem 33E

(a)

To determine

To verify: 3x2−y2=3 is a one-parameter family of solutions of the given differential equation.

(b)

To determine

To sketch: The graph of the implicit solution 3x2−y2=3.

And to determine all the explicit solutions of the differential equation in part (a) with their respective interval of definition.

(c)

To determine

Determine the explicit solution in part (b) that satisfies y(−2)=3.

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Answer 3

Question

Chapter 1.2, Problem 33E

(a)

To determine

To verify: 3x2−y2=3 is a one-parameter family of solutions of the given differential equation.

(b)

To determine

To sketch: The graph of the implicit solution 3x2−y2=3.

And to determine all the explicit solutions of the differential equation in part (a) with their respective interval of definition.

(c)

To determine

Determine the explicit solution in part (b) that satisfies y(−2)=3.

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Answer 4

Question

Chapter 1.2, Problem 33E

(a)

To determine

To verify: 3x2−y2=3 is a one-parameter family of solutions of the given differential equation.

(b)

To determine

To sketch: The graph of the implicit solution 3x2−y2=3.

And to determine all the explicit solutions of the differential equation in part (a) with their respective interval of definition.

(c)

To determine

Determine the explicit solution in part (b) that satisfies y(−2)=3.

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Answer 5

Chapter 1.2, Problem 33E

(a)

To determine

To verify: 3x2−y2=3 is a one-parameter family of solutions of the given differential equation.

(b)

To determine

To sketch: The graph of the implicit solution 3x2−y2=3.

And to determine all the explicit solutions of the differential equation in part (a) with their respective interval of definition.

(c)

To determine

Determine the explicit solution in part (b) that satisfies y(−2)=3.

Answer 6

Chapter 1.2, Problem 33E

(a)

To determine

To verify: 3x2−y2=3 is a one-parameter family of solutions of the given differential equation.

Answer 7

Chapter 1.2, Problem 33E

(a)

To determine

To verify: 3x2−y2=3 is a one-parameter family of solutions of the given differential equation.

Answer 8

(b)

To determine

To sketch: The graph of the implicit solution 3x2−y2=3.

And to determine all the explicit solutions of the differential equation in part (a) with their respective interval of definition.

Answer 9

(b)

To determine

To sketch: The graph of the implicit solution 3x2−y2=3.

And to determine all the explicit solutions of the differential equation in part (a) with their respective interval of definition.

Answer 10

(c)

To determine

Determine the explicit solution in part (b) that satisfies y(−2)=3.

Answer 11

(c)

To determine

Determine the explicit solution in part (b) that satisfies y(−2)=3.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

To verify: 3 x 2 − y 2 = 3 is a one-parameter family of solutions of the given differential equation.

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To verify: 3x2−y2=3 is a one-parameter family of solutions of the given differential equation.

To sketch: The graph of the implicit solution 3x2−y2=3.

And to determine all the explicit solutions of the differential equation in part (a) with their respective interval of definition.

Determine the explicit solution in part (b) that satisfies y(−2)=3.

Want to see the full answer?

Chapter 1 Solutions

To verify: 3 x 2 − y 2 = 3 is a one-parameter family of solutions of the given differential equation.

Concept explainers

Videos

To verify: 3x2−y2=3 is a one-parameter family of solutions of the given differential equation.

To sketch: The graph of the implicit solution 3x2−y2=3. And to determine all the explicit solutions of the differential equation in part (a) with their respective interval of definition.

Determine the explicit solution in part (b) that satisfies y(−2)=3.

Want to see the full answer?

Chapter 1 Solutions

To sketch: The graph of the implicit solution 3x2−y2=3.

And to determine all the explicit solutions of the differential equation in part (a) with their respective interval of definition.