Growth Model with Initial Value
If:
$$\frac{dy}{dx}=ky,\quad y(0)=y_0$$
then:
$$y=y_0e^{kx}$$
Usage
- Directly gives the particular solution when the initial quantity is known.
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CAT Formulas
Differential Equations
Growth Model with Initial Value
Growth Model with Initial Value
If:
$$\frac{dy}{dx}=ky,\quad y(0)=y_0$$
then:
$$y=y_0e^{kx}$$
Usage
- Directly gives the particular solution when the initial quantity is known.
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