Differential equations: a MapleTM supplement

by Gilbert, Robert P.

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Title Statements

Full title :Differential equations : a MapleTM supplement / Robert P. Gilbert, Georg C. Hsiao, Robert J. Ronkese.

Edition Statements

Publication Date:2021.
Edition:Second edition

Publication Statements

Publisher(s):CRC Press, Taylor & Francis Group
Place of Publication:Boca Raton
Language:eng
Publication Date:2021.

The Physical Object

Description:1 online resource (244 pages).

Edition Identifiers

ISBN:1003175643, 9781003175643, 1000402576, 9781000402575
oclc:on1303436819
LC Classification:QA371.5.D37
Dewey Decimal:515.350285

Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Contents -- 1. Introduction to the Maple DEtools -- 1.1. Analytical Solutions and Their Plotting -- 1.2. Direction Fields and Integral Curves -- 1.3. Computer Lab -- 1.4. Supplementary Maple Programs -- 1.4.1. Implicit and Explicit Solutions -- 1.4.2. Numerical Solutions -- 2. First-Order Differential Equations -- 2.1. Linear Differential Equations -- 2.2. Project: Mixing Problems -- 2.2.1. Project1: One Tank -- 2.2.2. Project2: Two Tanks -- 2.3. Separable Differential Equations -- 2.4. Exact Equations -- 3. Numerical Methods for First-Order Equations -- 3.1. Picard's Iteration Method and Semi-Batch Reactor -- 3.2. An Existence and Uniqueness Theorem -- 3.3 Picard Iteration Method -- 3.4. Computer Lab -- 3.5. Numerical Procedures and Fermentation Kinetics -- 3.6. The Euler Method -- 3.7. Higher-Order Methods -- 3.8. Maple Procedures -- 3.9. Computer Lab -- 3.10. Supplementary Maple Programs -- 3.10.1. The Order of Convergence -- 4. Differential Equations with Constant Coefficients -- 4.1. Second-Order Equations with Constant Coefficients -- 4.2. Variation of Parameters -- 4.2.1. The Wronskian -- 4.3. The Method …