Chapter 6.1, Problem 59E

### Calculus of a Single Variable

11th Edition
Ron Larson + 1 other
ISBN: 9781337275361

Chapter
Section

### Calculus of a Single Variable

11th Edition
Ron Larson + 1 other
ISBN: 9781337275361
Textbook Problem

# Matching In Exercises 57–60, match the differential equation with its slope field. [The slope fields are labeled (a), (b), (c), and (d).] d y d x = e − 2 x

To determine

the differential equation associated with its given slope field.

Explanation

Given: dydx=e2x and the four graphs of the slope field.

a). b).

c). d).

As dydx=e2x, it implies that the slope is exponential in nature.

We start by creating a table showing the slopes at several points.

The table shown below is a smallsample. The slopes at many other points should be calculated to get a representative slope field

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