Explanation Observe the slope field of each differential equation and match it with the figure. Given: (i) d y d t = − 1 (ii) d y d t = y t (iii) d y d t = t 2 y (iv) d y d t = t y 2 (v) d y d t = t 2 + y 2 (vi) d y d t = t Calculation: (i) d y d t = − 1 - Every segment in the slope field will have slope − 1 which matches Figure 12(C) (ii) d y d t = y t - The segments in the slope field will have a positive slope in the first and third quadrants and negative slopes in the second and fourth quadrant and hence this matches Figure 12(B) (iii) d y d t = t 2 y - The segme...

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Differential Equations

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Chapter 10.3, Problem 11E

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To match each differential equation with its slope field in Figures 12(A)-(F)

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Chapter 10.3, Problem 10E

Chapter 10.3, Problem 12E

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To match each differential equation with its slope field in Figures 12(A)-(F)

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Chapter 10 Solutions