Chapter 6.4, Problem 66E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# True or False? In Exercises 65 and 66, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.y' + xy = exy is a first-order linear differential equation.

To determine
Whether the statement “ y+xy=exy is a first-order linear differential equation” is true or false. If false, then give reason with an example.

Explanation

Now, divide the given equation yâ€²+xy=exy by y on both sides:

yâ€²y+x=exyâ€²y=exâˆ’x

The provided expression yâ€²y=exâˆ’x i

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