Transcription of First-Order Differential Equations and Their Applications
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CHAPTER 1 First-Order Differential Equations and Their Introduction to Ordinary Differential EquationsDifferential Equations are found in many areas of mathematics, science, and engineer-ing. Students taking a first course in Differential Equations have often already seensimple examples in Their mathematics, physics, chemistry, or engineering courses. Ifyou have not already seen Differential Equations , go to the library or Web and glanceat some books or journals in your major field.
tions such as growth and decay problems for populations, radioactive decay, thermal cooling, mixtureproblems, evaporationandflow, electroniccircuittheory, andseveral others. In these applications, some care is given to the development of mathematical models. A solution of the differential equation (1) is a function that satisfies the differential
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