Solution: 1–4 reproduce the given computer-generated

Chapter 2, Problem 3E

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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.

\(\frac{d y}{d x}=1-x y\)

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

(c) y(2) = 2                       (d) y(0) = -4

                                                   

Text Transcription:

dy/dx = 1 - xy

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.

\(\frac{d y}{d x}=1-x y\)

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

(c) y(2) = 2                       (d) y(0) = -4

                                                   

Text Transcription:

dy/dx = 1 - xy

ANSWER:

Step 1 of 3

We have to sketch the direction field .

 

Given ,  

 

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