Exponential Decay
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An Exponential Decay is an exponentially decreasing function which satisfies an Homogenous First-order Linear Differential Equation.
- Context:
- It can be expressed as
- [math]\displaystyle{ N(t)=N_0\;e^{-\lambda(t-t_0)} }[/math]
- where [math]\displaystyle{ N }[/math] satisfies the Homogenous First-order Linear Differential Equation
- [math]\displaystyle{ \frac{dN}{dt}=-\lambda N \quad\textrm{with}\quad N(t_0)=N_0 }[/math]
- where [math]\displaystyle{ \lambda }[/math] is called the half-life or rate of decay.
- Example(s):
- …
- Counter-Example(s):
- See: First-Order Linear Differential Equation, Differential Equation, Linear Function.