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The texts follows a "traditional" curriculum and takes the "traditional" rather than "dynamical systems" approach. Introductory Differential Equations is a text that follows a traditional approach and is appropriate for a first course in ordinary differential equations including Laplace transforms and a second course in Fourier series and boundary value problems.

Note that some schools might prefer to move the Laplace transform material to the second course, which is why we have placed the chapter on Laplace transforms in its location in the text.


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Martha L. Abell and James P.

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Elementary Differential Equations And Boundary Value Problems

Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro where they have extensive experience in Mathematica-assisted instruction at both the undergraduate and graduate levels.

Abell , James P.

Chapter 2 FirstOrder Equations. Chapter 4 Higher Order Equations. Chapter 6 Systems of Differential Equations.

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Chapter 8 Introduction to the Laplace Transform. It teaches students how to formulate a mathematical model, solve differential equations analytically and numerically, analyze them qualitatively, and interpret the results.

Free Online Course: Introduction to Ordinary Differential Equations from Coursera | Class Central

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By Vladimir Dobrushkin. Edition 1st Edition.