Decay Model with Initial Value
If:
$$\frac{dy}{dx}=-ky,\quad y(0)=y_0$$
then:
$$y=y_0e^{-kx}$$
Usage
- Used when a quantity decreases exponentially from a known initial value.
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CAT Formulas
Differential Equations
Decay Model with Initial Value
Decay Model with Initial Value
If:
$$\frac{dy}{dx}=-ky,\quad y(0)=y_0$$
then:
$$y=y_0e^{-kx}$$
Usage
- Used when a quantity decreases exponentially from a known initial value.
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