Solved: 1–4 reproduce the given computer-generated

Chapter 2, Problem 4E

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QUESTION:

In Problems 1–4 reproduce the given computer-generated direction field. Then sketch, by hand, an approximate solution curve that passes through each of the indicated points. Use different colored pencils for each solution curve.

\(\frac{d y}{d x}=(\sin x) \cos y\)

(a) y(0) = 1                   (b) y(1) = 0

(c) y(3) = 3                   (d) \(y(0)=-\frac{5}{2}\)

                                                   

Text Transcription:

dy/dx = (sin x) cos y

y(0)=-5/2

Questions & Answers

QUESTION:

In Problems 1–4 reproduce the given computer-generated direction field. Then sketch, by hand, an approximate solution curve that passes through each of the indicated points. Use different colored pencils for each solution curve.

\(\frac{d y}{d x}=(\sin x) \cos y\)

(a) y(0) = 1                   (b) y(1) = 0

(c) y(3) = 3                   (d) \(y(0)=-\frac{5}{2}\)

                                                   

Text Transcription:

dy/dx = (sin x) cos y

y(0)=-5/2

ANSWER:

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