Sketching direction fields Use the window [?2, 2] × [?2,

Chapter 7, Problem 40E

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QUESTION:

Sketching direction fields Use the window \([-2,2] \times [-2,2]\) to sketch a direction field for the following equations. Then sketch the solution curve that corresponds to the given initial condition.

\(y^{\prime}(t)=\sin y, \ y(-2)=\frac{1}{2}\)

Questions & Answers

QUESTION:

Sketching direction fields Use the window \([-2,2] \times [-2,2]\) to sketch a direction field for the following equations. Then sketch the solution curve that corresponds to the given initial condition.

\(y^{\prime}(t)=\sin y, \ y(-2)=\frac{1}{2}\)

ANSWER:

Problem 40E

Sketching direction fields

Use the window [−2, 2] × [−2, 2] to sketch a direction field for the following equations. Then sketch the solution curve that corresponds to the given initial condition.
 
Solution:
Step 1
Using the window [−2, 2] × [−2, 2] to sketch a direction field for .
Sketch of direction field:

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