A First Course in Differential Equations

This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasi...

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Bibliographic Details
Main Author: Logan, J. David
Format: eBook
Language:English
Published: New York, NY Springer New York 2006, 2006
Edition:1st ed. 2006
Series:Undergraduate Texts in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a A First Course in Differential Equations  |h Elektronische Ressource  |c by J. David Logan 
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505 0 |a Preface -- Differential Equations and Models -- Analytic Solutions and Approximations.-Second-Order Differential Equations -- Laplace Transforms -- Linear Systems -- Nonlinear Systems -- Appendix A: References -- Appendix B: A Brief on MATLAB -- Appendix C: Maple Commands -- Appendix D: Sample Examinations -- Appendix E: Solutions to Selected Exercises 
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653 |a Differential Equations 
653 |a Differential equations 
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520 |a This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. The topics include: * separable and linear first-order equations; * autonomous equations; * second order linear homogeneous and nonhomogeneous equations; * Laplace transforms; * linear and nonlinear systems in the phase plane. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is presented, and an appendix contains templates of Maple and MATLAB commands and programs which are useful in differential equations