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# 15–22 is a Bernoulli equation.In 21 and 22 solve the given

ISBN: 9781111827052 44

## Solution for problem 21E Chapter 2.5

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

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Problem 21E

PROBLEM 21E

Each DE in Problems 15–22 is a Bernoulli equation.

In Problems 21 and 22 solve the given initial-value problem.

Step-by-Step Solution:

Solution:Step 1</p>

In this problem we need to solve the given initial value problem.

Step 2</p>

First we arranging the differential equation to change it to the standard form of bernoulli's equation i.e.  by dividing both sides by , we get

Dividing both sides by , we get

To solve this we make the substitution .

Differentiating  with respect to y, we get

From above equation we get .

We can write  as follows

Step 3</p>

Substituting  and  in the differential equation , we get

Multiplying both sides by , we get

The equation is not in the standard form of bernoulli’s equation. To calculate the integrating factor, we do as follows

Step 4 of 5

Step 5 of 5

##### ISBN: 9781111827052

The full step-by-step solution to problem: 21E from chapter: 2.5 was answered by , our top Calculus solution expert on 07/17/17, 09:41AM. The answer to “Each DE in 15–22 is a Bernoulli equation.In 21 and 22 solve the given initial-value problem.” is broken down into a number of easy to follow steps, and 16 words. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. Since the solution to 21E from 2.5 chapter was answered, more than 240 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Bernoulli, equation, given, initial. This expansive textbook survival guide covers 109 chapters, and 4053 solutions.

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