Exponential decay

Overview

**exponential decay**if it decreases at a rate proportional to its value. Symbolically, this process can be expressed by the following differential equation

Differential equation

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders...

, where

*N*is the quantity and λ (lambda) is a positive number called the

**decay constant**:

The solution to this equation (see derivation below) is:

Exponential rate of change

Here

*N(t)*is the quantity at time

*t*, and

*N*is the initial quantity, i.e.

_{0}= N(0)Unanswered Questions