Explanation Given: One of the slope fields in Figures (A) and (B) is the slope field for d y d t = t 2 . The other is d y d t = y 2 Calculation: In the case of d y d t = t 2 , the slope depends only on t . The isoclines of any slope c will consist of two vertical lines t = ± c . This indicates that the slope field will be the one given in Figure (A). Similarly, in the case of d y d t = y 2 , the slope depends only on y . The isoclines of any slope c will consist of two horizontal lines y = ± c . This indicates that the slope field will be the one given in Figure (B)

4th Edition

ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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Chapter 9.3, Problem 4E

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To identify which slope field matches which figure and sketch the solutions with initial conditions y(0)=1, y(0)=0 and y(0)=−1.

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Chapter 9.3, Problem 3E

Chapter 9.3, Problem 5E

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Chapter 9 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

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To identify which slope field matches which figure and sketch the solutions with initial conditions y ( 0 ) = 1 , y ( 0 ) = 0 and y ( 0 ) = − 1 .

Solution Summary: The author identifies which slope field matches which figure and sketched the solutions with initial conditions y(0)=1.

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To identify which slope field matches which figure and sketch the solutions with initial conditions y(0)=1, y(0)=0 and y(0)=−1.

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Chapter 9 Solutions