5 –12 use computer software to obtain a

Chapter 2, Problem 12E

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QUESTION:

In Problems 5–12 use computer software to obtain a direction field for the given differential equation. By hand, sketch an approximate solution curve passing through each of the given points.

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

(a) \(y\left(-\frac{1}{2}\right)=2\)                                 (b) \(y\left(\frac{3}{2}\right)=0\)

Text Transcription:

dy/dx = 1-y/x

y(-1/2) = 2

y(3/2) = 0

Questions & Answers

QUESTION:

In Problems 5–12 use computer software to obtain a direction field for the given differential equation. By hand, sketch an approximate solution curve passing through each of the given points.

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

(a) \(y\left(-\frac{1}{2}\right)=2\)                                 (b) \(y\left(\frac{3}{2}\right)=0\)

Text Transcription:

dy/dx = 1-y/x

y(-1/2) = 2

y(3/2) = 0

ANSWER:

Step 1 of 5

In this problem, we need to solve the problem and draw the solution sketch for the curve  

 

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