In Newtons Law of Cooling, the constant = 1/k is called the characteristic time. Show

Chapter 9, Problem 12

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In Newtons Law of Cooling, the constant = 1/k is called the characteristic time. Show that is the time required for the temperature difference (y T0) to decrease by the factor e1 0.37. For example, if y(0) = 100C and T0 = 0C, then the object cools to 100/e 37C in time , to 100/e2 13.5C in time 2 , and so on.

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