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Maple Technology Resource Manual to accompanyDifferential Equations, Second Edition
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  • Wiley

More About This Title Maple Technology Resource Manual to accompanyDifferential Equations, Second Edition

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This effective and practical new edition continues to focus on differential equations as a powerful tool in constructing mathematical models for the physical world. It emphasizes modeling and visualization of solutions throughout. Each chapter introduces a model and then goes on to look at solutions of the differential equations involved using an integrated analytical, numerical, and qualitative approach. The authors present the material in a way that's clear and understandable to students at all levels. Throughout the text the authors convey their enthusiasm and excitement for the study of ODEs.
  • English

English

Introduction to the Tutorials.

Graphs of Functions.

1. Plotting a Function.

2. Plotting Several Curves.

3. Piecewise-Defined Functions.

4. Engineering Functions.

First-Order ODEs.

5. Numerical Solutions of ODEs.

6. Slope Fields.

7. Integral Curves.

8. Solution Formulas.

9. Euler's Method, Heun's Method, 4th-Order Runge-Kutta.

10. Laplace Transforms: Discontinuous Driving Terms.

Second-Order ODEs.

11. Orbits, Solution Curves, Component Curves.

12. Time-State Curves.

13. Discontinuous Driving Terms.

14. Solution Formulas.

15. Laplace Transforms: Dirac-Delta Driving Terms.

Systems of First-Order ODEs.

16. Orbits and Component Graphs.

17. Time-State Curves.

18. Direction Fields.

19. System of Three or More ODEs.

20. Solution Formulas.

21. Fourth-Order Runge-Kutta.

22. System of ODEs in Polar Form.

Additional Topics.

23. Plotting Partial Sums: Fourier Series.

24. Fourier Coefficients.

25. Recursion Relations: Series Solutions.

Glossary.

Common Functions and Constants in Maple.

Index of Maple Commands.

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