   Chapter 8.3, Problem 39E

Chapter
Section
Textbook Problem

Slope Field In Exercises 39 and 40, a differential equation, a point, and a slope field are given, (a) Sketch two approximate solutions of the differential equation on the slope field, one of which passes through the given point. (To print an enlarged copy of the graph, go to MathGraphs.com.) (b) Use integration and the given point to find the particular solution of the differential equation and use a graphing utility to graph the solution. Compare the result with the sketch in part (a) that passes through the given point. d y d x = sin 2 x ( 0 , 0 )

(a)

To determine

To graph:

Two approximate solutions of the given differential equation on the slope field one of which passes through the point (0, 0).

Explanation

Given:

The given expression is dydx=sin2x,  (0,0)

Graph:

(b)

To determine

To calculate:

Solution of thegiven differential equation by using integration andgiven point  (0,0)

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