Explanation Given information: The given Logistic Equation is d y d t = y ( 2 − y 4 ) with y ( 0 ) = 6 . Calculation: The standard form of Logistic Equation is d y d t = k y ( 1 − y A ) ….(1) and its solution is given by y ( t ) = A B B − e − k t …..(2) Where B = y 0 y 0 − A ….(3) The Given logistic can be re-written as d y d t = 2 y ( 1 − y 8 ) Now comparing with (1) k = 2 , A = 8 Therefore, its solution will be given as To determine (b) To solve: the Logistic Equation with y ( 0 ) = 8 . To determine (c) To solve: Solve the Logistic Equation with y ( 0 ) = − 2 .

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 9.4, Problem 4E

To determine

(a)

To solve:

the Logistic Equation with y(0)=6.

To determine

(b)

To solve:

the Logistic Equation with y(0)=8.

To determine

(c)

To solve:

Solve the Logistic Equation with y(0)=−2.

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Chapter 9.4, Problem 3E

Chapter 9.4, Problem 5E

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Chapter 9 Solutions

Calculus: Early Transcendentals

Ch. 9.1 - Prob. 1PQ Ch. 9.1 - Prob. 2PQ Ch. 9.1 - Prob. 3PQ Ch. 9.1 - Prob. 4PQ Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E

Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - Prob. 43E Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Prob. 46E Ch. 9.1 - Prob. 47E Ch. 9.1 - Prob. 48E Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - Prob. 52E Ch. 9.1 - Prob. 53E Ch. 9.1 - Prob. 54E Ch. 9.1 - Prob. 55E Ch. 9.1 - Prob. 56E Ch. 9.1 - 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(a) To solve: the Logistic Equation with y ( 0 ) = 6 .

Solution Summary: The author explains the Logistic Equation with y(0)=6 and the final answer is 8.

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(a)

To solve:

the Logistic Equation with y(0)=6.

(b)

To solve:

the Logistic Equation with y(0)=8.

(c)

To solve:

Solve the Logistic Equation with y(0)=−2.

Want to see the full answer?

Chapter 9 Solutions

(a) To solve: the Logistic Equation with y ( 0 ) = 6 .

Solution Summary: The author explains the Logistic Equation with y(0)=6 and the final answer is 8.

Concept explainers

Videos

(a) To solve: the Logistic Equation with y(0)=6.

(b) To solve: the Logistic Equation with y(0)=8.

(c) To solve: Solve the Logistic Equation with y(0)=−2.

Want to see the full answer?

Chapter 9 Solutions

(a)

To solve:

the Logistic Equation with y(0)=6.

(b)

To solve:

the Logistic Equation with y(0)=8.

(c)

To solve:

Solve the Logistic Equation with y(0)=−2.