Solved: Slope Field In Exercises 31 and 32, a differential equation, a point, and a
Chapter 5, Problem 32(choose chapter or problem)
In Exercises 31 and 32, a differential equation, a point, and a slope field are given. A slope field consists of line segments with slopes given by the differential equation. These line segments give a visual perspective of the directions of the solutions of the differential equation.
(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 to find the particular solution of the differential equation and use a graphing utility to graph the solution. Compare the result with the sketches in part (a).
\(\frac{d y}{d x}=e^{\sin x} \cos x,(\pi, 2)\)
Text Transcription:
frac d y d x=e^\sin x \cos x,(\pi, 2)
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