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An ordinary differential equation (often abbreviated to ODE) is one Differential equation where only derivatives of the desired function occur after exactly one variable. Many physical, chemical and biological processes in nature are described mathematically with such equations. Examples are the radioactive decay, motion processes of bodies, many types of Oscillation processes or the growth behavior of animal populations.
In scientific models, ordinary differential equations are often used to analyze, simulate, or be able to make predictions. Find an example below describing the dynamics of the population of rabbits and foxes. Check how the animals depend on each other. Manipulate some parameters to see the influences on the rabbits and foxes population.
|All examples are taken from Ordinary Differential Equations (ODE) with Python|