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In 11 and 12 show that the substitution leads to a

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

Problem 13E Chapter 4.10

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 13E

In Problems 11 and 12 show that the substitution leads to a Bernoulli equation. Solve this equation (see Section 2.5).

Step-by-Step Solution:
Step 1 of 3

Step-1:

In this problem we need to show that the substitution  leads to a Bernoulli equation and then solve the equation .

Step-2:

Given equation is .

Substitute in above equation we get.

Now, the above equation is in the form of (which is Bernoulli equation).

Here, n = 3.

Both sides divide with we get.

…..(1)

Step-3:

Substitute,

Substitute these values in equation (1) we get.

Integrating factor is

Step-4:

Multiply the equation both sides with we get.

Integrating on both sides we get.

Step 2 of 3

Chapter 4.10, Problem 13E is Solved
Step 3 of 3

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

This full solution covers the following key subjects: equation, section, leads, Bernoulli, see. This expansive textbook survival guide covers 109 chapters, and 4053 solutions. Since the solution to 13E from 4.10 chapter was answered, more than 226 students have viewed the full step-by-step answer. The answer to “In 11 and 12 show that the substitution leads to a Bernoulli equation. Solve this equation (see Section 2.5).” is broken down into a number of easy to follow steps, and 19 words. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10th. The full step-by-step solution to problem: 13E from chapter: 4.10 was answered by Sieva Kozinsky, our top Math solution expert on 07/17/17, 09:41AM. A First Course in Differential Equations with Modeling Applications was written by Sieva Kozinsky and is associated to the ISBN: 9781111827052.

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