   Chapter 6.4, Problem 65E

Chapter
Section
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:

y+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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