First-order Ordinary Differential Equations and Applications - Frasser, Carlos;Özer, Özen
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Ordinary differential equations (DE) represent a very powerful mathematical tool for solving numerous practical problems of science and engineering. This chapter treats of the most important types of first-order DEs, the techniques of their solution and their wide range of applications.The Chapter is organized as follows:1. Basic Concepts.2. First-order Differential Equations: General concepts, DEs with separated and separable variables, Homogeneous DEs, DEs that can be reduced to a homogeneous DE, Exact DEs, Integrating Factors, Linear DEs, DEs reducible to linear form: the Bernoulli,…mehr

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Produktbeschreibung
Ordinary differential equations (DE) represent a very powerful mathematical tool for solving numerous practical problems of science and engineering. This chapter treats of the most important types of first-order DEs, the techniques of their solution and their wide range of applications.The Chapter is organized as follows:1. Basic Concepts.2. First-order Differential Equations: General concepts, DEs with separated and separable variables, Homogeneous DEs, DEs that can be reduced to a homogeneous DE, Exact DEs, Integrating Factors, Linear DEs, DEs reducible to linear form: the Bernoulli, Riccati, Clairaut and Lagrange equations.3. Applications of the first-order DEs: Geometric Applications, Elementary Mechanics, Laws of Exponential Growth and Decay.
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Autorenporträt
1. Carlos E. Frasser. PhD in Theoretical Computer Science, Odessa National Polytechnic University, Ukraine. Teacher and Researcher.2.  Özen Özer. PhD in Mathematics, Süleyman Demirel University, Isparta, Turkey. Associate Prof. Department of Mathematics, Faculty of Science and Arts, Kirklareli University.