Figure 9.20 is a slope field for dy/dx = y 10. (a) Draw the solution curve for each of

Chapter 9, Problem 4

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Figure 9.20 is a slope field for dy/dx = y 10. (a) Draw the solution curve for each of the following initial conditions: (i) y = 8 when x = 0 (ii) y = 12 when x = 0 (iii) y = 10when x = 0 (b) Since dy/dx = y 10, when y = 10, we have dy/dx = 10 10 = 0. Explain why this matches your answer to part (iii). 1 2 4 8 12 16 20 x y Figure 9.20: Slope field for dy/dx = y 10

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