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 .

Loose-leaf Version For Calculus: Early Transcendentals

4th Edition

ISBN: 9781319055912

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

Loose-leaf Version For 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

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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.