Chapter 8 - Mathematical Modeling With Differential Equations - 8.1 Modeling With Differential Equations - Exercises Set 8.1 - Page 567: 28

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(a) Y increases at a rate proportional to the square root of y with constant k that is bigger than 0. This also means the rate increases when y increases. (b) Y decreases at a rate proportional to cube of y with constant k that is bigger than 0. This means the rate decreases when y increases.