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Consider the differential equation where a and b are

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill ISBN: 9781111827052 44

Solution for problem 57E Chapter 1.1

A First Course in Differential Equations with Modeling Applications | 10th Edition

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A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

A First Course in Differential Equations with Modeling Applications | 10th Edition

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Problem 57E

Consider the differential equation where a and b are positive constants.(a) Either by inspection or by the method suggested in 33– 36, find two constant solutions of the DE.(b) Using only the differential equation, find intervals on the y-axis on which a nonconstant solution is increasing. Find intervals on which is decreasing.(c) Using only the differential equation, explain why is the y-coordinate of a point of inflection of the graph of a nonconstant solution (d) On the same coordinate axes, sketch the graphs of the two constant solutions found in part (a). These constant solutions partition the xy-plane into three regions. In each region, sketch the graph of a nonconstant solution whose shape is suggested by the results in parts (b) and (c).REFERENCE : PROBLEM 33 -36

Step-by-Step Solution:

SolutionStep 1In this problem, we have to find the solution of an differential equation by using inspection method or some other method.b)Then we have to find the increasing interval on the y axis and decreasing interval on the y axis.c)We have to explain why be the point of inflection on the graph.d)Then we have to stretch the graph of two constant solution found in (a).

Step 2 of 3

Chapter 1.1, Problem 57E is Solved
Step 3 of 3

Textbook: A First Course in Differential Equations with Modeling Applications
Edition: 10
Author: Dennis G. Zill
ISBN: 9781111827052

The answer to “Consider the differential equation where a and b are positive constants.(a) Either by inspection or by the method suggested in 33– 36, find two constant solutions of the DE.(b) Using only the differential equation, find intervals on the y-axis on which a nonconstant solution is increasing. Find intervals on which is decreasing.(c) Using only the differential equation, explain why is the y-coordinate of a point of inflection of the graph of a nonconstant solution (d) On the same coordinate axes, sketch the graphs of the two constant solutions found in part (a). These constant solutions partition the xy-plane into three regions. In each region, sketch the graph of a nonconstant solution whose shape is suggested by the results in parts (b) and (c).REFERENCE : PROBLEM 33 -36” is broken down into a number of easy to follow steps, and 127 words. Since the solution to 57E from 1.1 chapter was answered, more than 270 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 57E from chapter: 1.1 was answered by , our top Calculus solution expert on 07/17/17, 09:41AM. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. This full solution covers the following key subjects: nonconstant, Find, Solutions, constant, solution. This expansive textbook survival guide covers 109 chapters, and 4053 solutions.

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Consider the differential equation where a and b are