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Di erential Equations - Theory and Applications - Version ...

Differential Equations - Theory and Applications - Version : Fall 2017 Andr as Domokos , PhDCalifornia State University, SacramentoContentsChapter 0. Introduction3 Chapter 1. Calculus review. Differentiation and integration Antiderivatives and Indefinite Definite Integrals11 Chapter 2. Introduction to Differential Initial value Classifications of Examples of DEs modelling real-life phenomena25 Chapter 3. First order differential Equations solvable by analytical Differential Equations with separable First order linear differential Bernoulli s differential Non-linear homogeneous differential Differential Equations of the formy (t) =f(at+by(t) +c).

Second order di erential equations reducible to rst order di erential equations 42 Chapter 4. General theory of di erential equations of rst order 45 4.1. Slope elds (or direction elds) 45 4.1.1. Autonomous rst order di erential equations. 49 4.2. Existence and …

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