In 19 and 20 verify that the indicated expression is an

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

Problem 19E 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 19E

In Problems 19 and 20 verify that the indicated expression is an implicit solution of the given first-order differential equation. Find at least one explicit solution in each case. Use a graphing utility to obtain the graph of an explicit solution. Give an interval I of definition of each solution

Step-by-Step Solution:

Step 1</p>

In this problem we have to verify that the indicated expression  is an implicit solution of the given first-order differential equation

.

Step 2</p>

We have, .

Or,

Taking implicit differentiation of the function,

We get, .

Or,

Or,

Or, .

Therefore we can say that the indicated expression  is an implicit solution of the given first-order differential equation .

Step 3 of 4

Chapter 1.1, Problem 19E is Solved
Step 4 of 4

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

The full step-by-step solution to problem: 19E from chapter: 1.1 was answered by , our top Math 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. The answer to “In 19 and 20 verify that the indicated expression is an implicit solution of the given first-order differential equation. Find at least one explicit solution in each case. Use a graphing utility to obtain the graph of an explicit solution. Give an interval I of definition of each solution” is broken down into a number of easy to follow steps, and 49 words. Since the solution to 19E from 1.1 chapter was answered, more than 235 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10th. This full solution covers the following key subjects: solution, explicit, graphing, equation, Case. This expansive textbook survival guide covers 109 chapters, and 4053 solutions.

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