Explanation From the given Figure 2.1.17, note that f intersects x -axis at x = − 2 , − 1 , 1 , 2 which means the critical points of the differential equation are x = − 2 , − 1 , 1 , 2 . From the critical points divide the function in five intervals as given below. − ∞ < x < − 2 , − 2 < x < − 1 , − 1 < x < 1 , 1 < x < 2 and 2 < x < ∞ . Observe the function as decreasing or increasing in the above intervals

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Chapter 2.1, Problem 14E

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To find: The sketch of the direction field for dydx=f(x).

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Chapter 2.1, Problem 13E

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Chapter 2 Solutions

Advanced Engineering Mathematics

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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The sketch of the direction field for d y d x = f ( x ) .

Solution Summary: The author explains that the sketch of the direction field is given below in Figure 2.1.17.

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To find: The sketch of the direction field for dydx=f(x).

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Chapter 2 Solutions