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Rate Proportional to Difference
If the rate of change is proportional to the difference between $$y$$ and a constant $$a$$:
$$\frac{dy}{dt}=k(a-y)$$
then:
$$y=a+Ce^{-kt}$$
Usage
- General model for quantities approaching a limiting value.
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Rate Proportional to Difference
If the rate of change is proportional to the difference between $$y$$ and a constant $$a$$:
$$\frac{dy}{dt}=k(a-y)$$
then:
$$y=a+Ce^{-kt}$$
Usage
- General model for quantities approaching a limiting value.
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