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Differential Equations: A Modeling Approach

Glenn Ledder, University of Nebraska - Lincoln

Differential Equations and Mathematical Modeling

The HTML file is for viewing the Manual in a browser. Mathematica is not required. Open the zipped file below and in the "Mathematica Manual site" folder, load the page named "Open Me First" into your browser.

Mathematica Manual site (1275.0K)

The Mathematica files are for those users who happen to have Mathematica on their computer. They can be used for experimentation. Solve similar problems by altering the code. Vary the parameters to see how the solutions change. Open the zipped file below to view the Mathematica files.

Mathematica Files (1710.0K)

If the user desires a hard copy, the HTML file could be printed. However, some of the plots will probably break across a page, and the pages will not be numbered as they should be to coincide with the numbering in the Table of Contents. The pdf files make nicer looking correctly numbered pages.

Introduction: Preface and Contents

Mathematica Introduction (97.0K)

Part I: The Mathematica Notebook

Part 1. Section 1. Cell structure Input Output (574.0K)

Part 1. Section 2. Mixing Text and Mathematics (92.0K)

Part II: Calculations and Calculus with Mathematica

Part II. Section 1. Getting Started Mathematica as a Calculator (138.0K)

Part II. Section 2. Symbolics Equations and Assignments (164.0K)

Part II. Section 3. Functions as Transformations (214.0K)

Part III: First Order Ordinary Differential Equations

Part III. Section 1. Entering Solving Plotting (233.0K)

Part III. Section 2. Working with Solutions Modeling (171.0K)

Part III. Section 3. Slope Fields (314.0K)

Part III. Section 4. Approximate Solutions (174.0K)

Part IV: Linear Differential Equations

Part IV. Section 1. Linear Oscillators (216.0K)

Part IV. Section 2. State Space (447.0K)

Part IV. Section 3. Two Dimensional Systems (310.0K)

Part IV. Section 4. Matrix Methods (170.0K)

Part IV. Section 5. The Laplace Transform (182.0K)

Exercises for Parts I-IV

Exercises (272.0K)

Appendix: Power Series and Special Functions; Picard Iterates; Partial Differential Equations; Sound Advice and Encouraging Words

Appendix A1. Power Series and Special Functions (107.0K)

Appendix A2. Picard Iteration (83.0K)

Appendix A3. Partial Differential Equations (184.0K)

Appendix A4. Sound Advice and Encouraging Words (103.0K)

Solutions to Selected Exercises

My 2nd Notebook (56.0K)

Solutions (600.0K)

Copyright

2005 McGraw-Hill Higher Education
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