Study Guide > University of WaterlooMATH 213ExponentialGrowth


Exponential GrowthIn this section we discuss the differential equationdydt  k y;where k is a positive constant. In words, this equation says that the rate at which thevariable y changes is proportional to the value of y; thus the larger y becomes, themore quickly it increases. The result is that y grows, slowly at first and then veryquickly, a phenomenon known as exponential growth.The Exponentia ...[Show More]

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