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equation for exponential growth calculus. Xt x 0 1 r100 t is used when there is a quantity with an initial value x 0 that changes over time t with a constant rate of change r. In the differential equation model k is a constant that determines if the function is growing or shrinking.
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R growth rate as a decimal. In the differential equation model k is a constant that determines if the function is growing or shrinking. Differential Equations Representing Growth and Decay.
A initial amount.
Lets solve this equation for y. From properties of the exponential function. If the rate of growth is proportional to the population p t kp t where k is a constant. If the growth is exponential then the population will double for a fixed period of time.
