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exponential decay model equation. Exponential Decay A model for decay of a quantity for which the rate of decay is directly proportional to the amount present. Systems that exhibit exponential decay behave according to the model y y0e kt where y0 represents the initial state of the system and k 0 is a constant called the decay constant.
To describe these numbers we often use orders of magnitude. In both formulas A 0 is the original amount present at time t 0. Differential Equations Representing Growth and Decay.
Introduction An exponential decay equation models many chemical and biological processes.
P 0 initial amount at time t 0. R the decay rate. It can be expressed by the formula ya 1-bx wherein y is the final amount a is the original amount b is the decay factor and x is the amount of time that has passed. It is used whenever the rate at which something happens is proportional to the amount which is left.