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ABSTRACT
The aim of this project is to show how modeling with ordinary differential equation could be used to mathematically model quantities that change with time. Models are abstract representation of real world object, system or processes. They are used most often for illustrating theoretical concept but increasing being used in more applied situations such as predicting future out comes. In general model of this kind simply attempt to describe real world relationship between two or more variable, such models include the exponential model given by 𝑑𝑝(𝑡) 𝑑𝑡 = 𝑟𝑝(𝑡) where r is a constant i.e. growth rate, p(t) is the population at lime t.