Define thew term Exponential Growth and Decay?

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boronganfh · Accepted Answer

Exponential growth: exponential growth of a quantity is when the rate of change of a quantity is proportional to the quantity itself.
Decay: Decay is when the rate of change of a quantity is proportional to the negative of quantity itself.
Exponential of Example growth:

\frac{d y}{d x} \propto y

\frac{d y}{d x} = a y

where a is proportionality constant

\ln y = a x

y = e^{a x}

Example of Decay

\frac{d y}{d x} \propto - y

\frac{d y}{d x} = - a y

where a is proportionality constant

\ln y = - a x

y = e^{- a x}

Becky Harrison · Accepted Answer

Exponential growth is a mathematical change that increases without limit based on an exponential function.
Exponential decay is found in mathematical functions where the rate of change is decreasing and thus must reach a limit, which is the horizontal asymptote of an exponential function.

Define thew term Exponential Growth and Decay?

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