   Chapter 6.1, Problem 58E

Chapter
Section
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 = 1 2 cos x

To determine
The differential equation associated with its given slope field. Explanation

Given: dydx=12cosx and the four graphs of the slope field.

a). b).

c). d).

Explanation:

As dydx=12cosx, it implies that the slope is oscillatory in nature.

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

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

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