Solution of Variable-Rate Growth
For:
$$\frac{dy}{dt}=k(t)y$$
the solution is:
$$y=C e^{\int k(t)\,dt}$$
Usage
- General solution for proportional growth with a time-dependent rate.
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CAT Formulas
Differential Equations
Solution of Variable-Rate Growth
Solution of Variable-Rate Growth
For:
$$\frac{dy}{dt}=k(t)y$$
the solution is:
$$y=C e^{\int k(t)\,dt}$$
Usage
- General solution for proportional growth with a time-dependent rate.
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