Chapter 6.4, Problem 6E

### 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

# Determining Whether a Differential Equation Is Linear In Exercises 3-6, determine whether the differential equation is linear. Explain your reasoning. 2 − y ' y = 5 x

To determine
Whether the differential equation 2yy=5x is linear or not.

Explanation

Given:

The equation is;

2âˆ’yâ€²y=5x

Explanation:

The first order linear differential equation is of the form:

yâ€²+P(x)y=Q(x)

The provided differential equation can be represented as;

2âˆ’yâ€²y=5x2âˆ’yâ€²=5xy

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