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    Introduction to Ordinary Differential Equations with Mathematica: Solutions Manual (Paperback) By (author) Alfred Gray, By (author) Mike Mezzino, By (author) Mark A. Pinsky

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    DescriptionThe purpose of this companion volume to our text is to provide instructors (and eventu- ally students) with some additional information to ease the learning process while further documenting the implementations of Mathematica and ODE. In an ideal world this volume would not be necessary, since we have systematically worked to make the text unambiguous and directly useful, by providing in the text worked examples of every technique which is discussed at the theoretical level. However, in our teaching we have found that it is helpful to have further documentation of the various solution techniques introduced in the text. The subject of differential equations is particularly well-suited to self-study, since one can always verify by hand calculation whether or not a given proposed solution is a bona- fide solution of the differential equation and initial conditions. Accordingly, we have not reproduced the steps of the verification process in every case, rather content with the illustration of some basic cases of verification in the text. As we state there, students are strongly encouraged to verify that the proposed solution indeed satisfies the requisite equation and supplementary conditions.


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    Title
    Introduction to Ordinary Differential Equations with Mathematica
    Subtitle
    Solutions Manual
    Authors and contributors
    By (author) Alfred Gray, By (author) Mike Mezzino, By (author) Mark A. Pinsky
    Physical properties
    Format: Paperback
    Number of pages: 545
    Width: 170 mm
    Height: 244 mm
    Thickness: 28 mm
    Weight: 933 g
    Language
    English
    ISBN
    ISBN 13: 9780387982328
    ISBN 10: 0387982329
    Classifications

    BIC E4L: COM
    B&T Book Type: NF
    LC subject heading:
    B&T Merchandise Category: TXT
    LC subject heading:
    BIC subject category V2: UF
    Nielsen BookScan Product Class 3: S10.4
    B&T General Subject: 710
    DC22: 004
    LC classification: QA
    Ingram Subject Code: MA
    Abridged Dewey: 515
    BISAC V2.8: COM014000
    BIC subject category V2: PBKJ
    Warengruppen-Systematik des deutschen Buchhandels: 16270
    BISAC V2.8: MAT034000
    LC subject heading:
    DC21: 515.35202855369
    LC classification: QA75.5-76.95, QA1-939, QA299.6-433
    Thema V1.0: PBKJ, UF
    Illustrations note
    2 black & white illustrations, biography
    Publisher
    Springer-Verlag New York Inc.
    Imprint name
    Springer-Verlag New York Inc.
    Publication date
    01 June 1998
    Publication City/Country
    New York, NY
    Table of contents
    Solutions.- 1. Basic Concepts.- Solutions to Section 1.1.- Solutions to Section 1.3.- 2. Using Mathematica.- Solutions to Section 2.2.- Solutions to Section 2.3.- 3. First-Order Differential Equations.- Solutions to Section 3.1.- Solutions to Section 3.2.- Solutions to Section 3.3.- Solutions to Section 3.4.- Solutions to Section 3.5.- Solutions to Section 3.6.- 4. The Package ODE.m.- Solutions to Section 4.4.- Solutions to Section 4.5.- Solutions to Section 4.4.- Solutions to Section 4.6.- Solutions to Section 4.7.- Solutions to Section 4.8.- Solutions to Section 4.9.- Solutions to Section 4.10.- Solutions to Section 4.11.- Solutions to Section 4.12.- 5. Existence and Uniqueness of Solutions of First-Order Differential Equations.- Solutions to Section 5.1.- Solutions to Section 5.2.- Solutions to Section 5.3.- Solutions to Section 5.5.- Solutions to Section 5.6.- 6. Applications of First-Order Equations I.- Solutions to Section 6.1.- Solutions to Section 6.2.- Solutions to Section 6.3.- Solutions to Section 6.4.- Solutions to Section 6.5.- Solutions to Section 6.6.- 7. Applications of First-Order Equations II.- Solutions to Section 7.1.- Solutions to Section 7.2.- Solutions to Section 7.3.- Solutions to Section 7.4.- Solutions to Section 7.5.- 8. Second-Order Linear Differential Equations.- Solutions to Section 8.1.- Solutions to Section 8.2.- Solutions to Section 8.3.- Solutions to Section 8.4.- Solutions to Section 8.5.- Solutions to Section 8.6.- Solutions to Section 8.7.- 9. Second-Order Linear Differential Equations with Constant Coefficients.- Solutions to Section 9.1.- Solutions to Section 9.2.- Solutions to Section 9.3.- Solutions to Section 9.4.- 10. Using ODE.m to Solve Second-Order Linear Differential Equations.- Solutions to Section 10.1.- Solutions to Section 10.2.- Solutions to Section 10.3.- Solutions to Section 10.4.- 11. Applications of Linear Second-Order Equations.- Solutions to Section 11.1.- Solutions to Section 11.2.- Solutions to Section 11.3.- 12. Higher-Order Linear Differential Equations.- Solutions to Section 12.1.- Solutions to Section 12.2.- Solutions to Section 12.3.- Solutions to Section 12.5.- 13. Numerical Solutions of Differential Equations.- Solutions to Section 13.1.- Solutions to Section 13.2.- Solutions to Section 13.3.- Solutions to Section 13.5.- Solutions to Section 13.6.- Solutions to Section 13.7.- Solutions to Section 13.8.- 14. The Laplace Transform.- Solutions to Section 14.1.- Solutions to Section 14.2.- Solutions to Section 14.3.- Solutions to Section 14.4.- Solutions to Section 14.5.- Solutions to Section 14.6.- Solutions to Section 14.7.- Solutions to Section 14.8.- Solutions to Section 14.9.- Solutions to Section 14.10.- 15. Systems of Linear Differential Equations.- Solutions to Section 15.1.- Solutions to Section 15.2.- Solutions to Section 15.3.- Solutions to Section 15.4.- Solutions to Section 15.5.- Solutions to Section 15.6.- Solutions to Section 15.7.- Solutions to Section 15.8.- 16. Phase Portraits of Linear Systems.- Solutions to Section 16.1.- Solutions to Section 16.2.- Solutions to Section 16.3.- 17. Stability of Nonlinear Systems.- Solutions to Section 17.1.- Solutions to Section 17.2.- Solutions to Section 17.3.- Solutions to Section 17.5.- Solutions to Section 17.6.- 18. Applications of Linear Systems.- Solutions to Section 18.1.- Solutions to Section 18.2.- Solutions to Section 18.3.- 19. Applications of Nonlinear Systems.- Solutions to Section 19.1.- Solutions to Section 19.2.- Solutions to Section 19.4.- Solutions to Section 19.5.- 20. Power Series Solutions of Second-Order Equations.- Solutions to Section 20.1.- Solutions to Section 20.3.- Solutions to Section 20.4.- 21. Frobenius Solutions of Second-Order Equations.- Solutions to Section 21.2.- Solutions to Section 21.3.- Solutions to Section 21.4.- Solutions to Section 21.5.- Solutions to Section 21.6.- Solutions to Section 21.8.- Solutions to Section 21.9.- A. Appendix: Review of Linear Algebra and Matrix Theory.- Solutions to Section A.3.- Solutions to Section A.4.- Solutions to Section A.5.- Solutions to Section A.6.- Solutions to Section A.7.- Solutions to Section A.8.- Solutions to Section A.9.