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# Lets modify the logistic differential equation of Example 1 as follows: dP dt 0.08PS1 2 ISBN: 9781305270336 484

## Solution for problem 19 Chapter 9.4

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 19

Lets modify the logistic differential equation of Example 1 as follows: dP dt 0.08PS1 2 P 1000 D 2 15 (a) Suppose Pstd represents a fish population at time t, where t is measured in weeks. Explain the meaning of the final term in the equation s215d. (b) Draw a direction field for this differential equation. (c) What are the equilibrium solutions? (d) Use the direction field to sketch several solution curves. Describe what happens to the fish population for various initial populations. (e) Solve this differential equation explicitly, either by using partial fractions or with a computer algebra system. Use the initial populations 200 and 300. Graph the solutions and compare with your sketches in part (d).

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##### ISBN: 9781305270336

The full step-by-step solution to problem: 19 from chapter: 9.4 was answered by , our top Calculus solution expert on 03/19/18, 03:29PM. The answer to “Lets modify the logistic differential equation of Example 1 as follows: dP dt 0.08PS1 2 P 1000 D 2 15 (a) Suppose Pstd represents a fish population at time t, where t is measured in weeks. Explain the meaning of the final term in the equation s215d. (b) Draw a direction field for this differential equation. (c) What are the equilibrium solutions? (d) Use the direction field to sketch several solution curves. Describe what happens to the fish population for various initial populations. (e) Solve this differential equation explicitly, either by using partial fractions or with a computer algebra system. Use the initial populations 200 and 300. Graph the solutions and compare with your sketches in part (d).” is broken down into a number of easy to follow steps, and 118 words. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Since the solution to 19 from 9.4 chapter was answered, more than 230 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 95 chapters, and 5427 solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8.

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