Differential Equations

Differential Equations: A Maple(tm) Supplement

by Gilbert, Robert P.

Type Book
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Title Statements

  • Full title :Differential Equations : A Maple(tm) Supplement.

Edition Statements

  • Publication Date:2021.
  • Edition:2nd ed

Publication Statements

  • Publisher(s):CRC Press LLC
  • Place of Publication:Milton
  • Language:eng
  • Publication Date:2021.

Notes

Description based upon print version of record.

10. Integral Transforms.

The Physical Object

  • Description:1 online resource (244 p.).

Edition Identifiers

  • ISBN:9781000402575, 1000402576
  • oclc:on1257076581

Table of Contents

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 of U…

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