Exponential Growth Model
If the rate of change of a quantity is proportional to the quantity itself:
$$\frac{dy}{dx}=ky$$
then:
$$y=Ce^{kx}$$
Usage
- Used for population growth, compound growth, and other proportional-growth models.
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CAT Formulas
Differential Equations
Exponential Growth Model
Exponential Growth Model
If the rate of change of a quantity is proportional to the quantity itself:
$$\frac{dy}{dx}=ky$$
then:
$$y=Ce^{kx}$$
Usage
- Used for population growth, compound growth, and other proportional-growth models.
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