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Item #:
266839901
The Introductory Differential Equations Companion
Item #:
266839901
KWD 7
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The Introductory Differential Equations Companion is your essential guide, filled with over a hundred detailed examples to master collegiate-level differential equations.
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- The Introductory Differential Equations Companion is designed to assist students taking such a course through detailed examples that may be lacking in most textbooks due to space considerations. This book contains over a hundred examples found in a typical Introductory Differential Equations course at the collegiate level. Topics covered in this book include methods of solutions of first-ordered ordinary differential equations, linear and non-linear cases, including Separations of Variables, Integration Factors, Autonomic Equations, Bernoulli Equations, Numerical Methods, and applications in solving mixture problems and proportional growth problems. Further topics include solution methods for higher-ordered differential equations, homogenous and non-homogenous cases, Autonomic Equations with constant coefficients, Linear Independence and the Wronskian, the Method of Auxiliary Polynomials, Reduction of Order, Undetermined Coefficients and Cauchy-Euler Equations, with applications such as the bobbing spring-mass systems. Laplace Transforms are covered, with examples for solving non-homogenous initial-value problems using Laplace Transforms, with continuous and discontinuous (piecewise, impulse and periodic) forcing functions, and special cases. Solution methods using systems with eigenvalues and eigenvectors, both Real and Complex are discussed. Further topics include Variation of Parameters, Exact Equations and Series Solutions. A practice set with solutions is given to challenge the student with their skills.
| Publisher | Scott Surgent |
| Publication date | 8 Aug. 2026 |
| Language | English |
| Print length | 205 pages |
| ISBN-13 | 979-8997407100 |
| Item weight | 281 g |
| Dimensions | 15.24 x 1.19 x 22.86 cm |
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The Introductory Differential Equations Companion
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Features & Benefits
- Contains over a hundred detailed examples for differential equations.
- Covers first-order ordinary differential equations and various solution methods.
- Includes applications in solving real-world problems like mixture problems.
- Explains higher-order differential equations and related methods.
- Offers practice sets with solutions to enhance problem-solving skills.
- Ideal for students seeking a comprehensive understanding of differential equations.
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