Endale, Mersha Amdie. 2015. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.
We quote from the opening by the author,
“The subject of differential equations is important part of mathematics for understanding the physical sciences. Most differential equations arise from problems in physics, engineering and other sciences and these equations serve as mathematical models for solving numerous problems in science and engineering.
“This seminar report consists of three chapters. The first chapter deals with an introduction and preliminary concepts of the theory of differential equations that will be helpful for the main body of the seminar.
“The second chapter focuses on methods of solving some differential equations particularly on solving separable , linear first order differential equations, homogeneous equations and Bernoulli’s Equation that will be used in unit three of this seminar paper for our real world system application.
“Lastly, chapter three discusses on some applications of first order differential equation to real world system. Here the applications are supported by an illustrative examples.”
Keywords: differential equations, real world, model, first order, second order, Bernoulli’s equation, cooling, logistic, harvesting, renewable resources, population.
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