Chapter 6.4, Problem 65E

### 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 ' + x y = x 2 is a first order linear differential equation.

To determine
Whether the statement “y+xy=x2 is a first-order linear differential equation” is true or false.

Explanation

The standard form of the first-order linear differential equation is:

yâ€²+P(x)y=Q(x)

Where, P and Q are continuous functions of x and the exponential power of y is 1

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