a. Explanation Given information: Consider a few points ( t , y ) with both − 2 ≤ t ≤ 2 and − 2 ≤ y ≤ 2 . Graph: Interpretation: Consider, d y d t = 2 y ( 1 − y ) Integrating, ∫ 1 y ( 1 − y ) d y = ∫ 2 d t ∫ 1 y d b. To determine To graph: Using HPGSolver to check these individual slope marks. c. To determine To graph: Make a more detailed drawing of the slope field and then use HPGSolver to confirm answer.

4th Edition

ISBN: 9780495561989

Author: Paul Blanchard, Robert L. Devaney, Glen R. Hall

Publisher: Cengage Learning

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Differential Equations

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Chapter 1.3, Problem 5E

To determine

To graph: Plot the graph dydt=2y(1−y) associated slope mark without the use of technology.

To determine

To graph: Using HPGSolver to check these individual slope marks.

To determine

To graph: Make a more detailed drawing of the slope field and then use HPGSolver to confirm answer.

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Chapter 1.3, Problem 4E

Chapter 1.3, Problem 6E

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To graph: Plot the graph d y d t = 2 y ( 1 − y ) associated slope mark without the use of technology.

Solution Summary: The author explains how to plot the graph using HpGSolver, and then make a more detailed drawing of the slope field.

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To graph: Plot the graph dydt=2y(1−y) associated slope mark without the use of technology.

To graph: Using HPGSolver to check these individual slope marks.

To graph: Make a more detailed drawing of the slope field and then use HPGSolver to confirm answer.

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Chapter 1 Solutions