| Description |
1 online resource (xiv, 385 pages) : illustrations, figures, tables |
| Series |
McGraw-Hill's AccessEngineering |
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McGraw-Hill's AccessEngineering.
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| Contents |
Cover -- Title Page -- Copyright Page -- Video Content -- Dedication -- PREFACE -- CONTENTS -- Chapter 1 Basic Concepts -- Differential Equations -- Notation -- Solutions -- Initial-Value and Boundary-Value Problems -- Chapter 2 An Introduction to Modeling and Qualitative Methods -- Mathematical Models -- The "Modeling Cycle" -- Qualitative Methods -- Chapter 3 Classifications of First-Order Differential Equations -- Standard Form and Differential Form -- Linear Equations -- Bernoulli Equations -- Homogeneous Equations -- Separable Equations -- Exact Equations |
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Chapter 4 Separable First-Order Differential Equations -- General Solution -- Solutions to the Initial-Value Problem -- Reduction of Homogeneous Equations -- Chapter 5 Exact First-Order Differential Equations -- Defining Properties -- Method of Solution -- Integrating Factors -- Chapter 6 Linear First-Order Differential Equations -- Method of Solution -- Reduction of Bernoulli Equations -- Chapter 7 Applications of First-Order Differential Equations -- Growth and Decay Problems -- Temperature Problems -- Falling Body Problems -- Dilution Problems -- Electrical Circuits -- Orthogonal Trajectories |
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Chapter 8 Linear Differential Equations: Theory of Solutions -- Linear Differential Equations -- Linearly Independent Solutions -- The Wronskian -- Nonhomogeneous Equations -- Chapter 9 Second-Order Linear Homogeneous Differential Equations with Constant Coefficients -- Introductory Remark -- The Characteristic Equation -- The General Solution -- Chapter 10 nth-Order Linear Homogeneous Differential Equations with Constant Coefficients -- The Characteristic Equation -- The General Solution -- Chapter 11 The Method of Undetermined Coefficients -- Simple Form of the Method -- Generalizations |
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Modifications -- Limitations of the Method -- Chapter 12 Variation of Parameters -- The Method -- Scope of the Method -- Chapter 13 Initial-Value Problems for Linear Differential Equations -- Chapter 14 Applications of Second-Order Linear Differential Equations -- Spring Problems -- Electrical Circuit Problems -- Buoyancy Problems -- Classifying Solutions -- Chapter 15 Matrices -- Matrices and Vectors -- Matrix Addition -- Scalar and Matrix Multiplication -- Powers of a Square Matrix -- Differentiation and Integration of Matrices -- The Characteristic Equation -- Chapter 16 eAt -- Definition |
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Computation of eAt -- Chapter 17 Reduction of Linear Differential Equations to a System of First-Order Equations -- An Example -- Reduction of an nth Order Equation -- Reduction of a System -- Chapter 18 Graphical and Numerical Methods for Solving First-Order Differential Equations -- Qualitative Methods -- Direction Fields -- Euler's Method -- Stability -- Chapter 19 Further Numerical Methods for Solving First-Order Differential Equations -- General Remarks -- Modified Euler's Method -- Runge-Kutta Method -- Adams-Bashford-Moulton Method -- Milne's Method -- Starting Values |
| Summary |
Fortunately, there's Schaum's. This all-in-one package includes 563 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 20 detailed videos featuring math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. Helpful tables and illustrations increase your understanding of the subject at hand |
| Notes |
Previous edition published under title: Schaum's outlines of differential equations, 2006 |
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"565 fully solved problems; 20 problem-solving videos online."--Cover |
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"Fourth edition."--Cover |
| Subject |
Differential equations -- Outlines, syllabi, etc
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Differential equations -- Problems, exercises, etc
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Differential equations
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| Genre/Form |
outlines (documents)
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exercise books.
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Outlines and syllabi
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Problems and exercises
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Outlines and syllabi.
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Problems and exercises.
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Résumés et programmes.
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Problèmes et exercices.
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| Form |
Electronic book
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| Author |
Bronson, Richard, editor
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Costa, Gabriel B., editor
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| ISBN |
9780071822862 |
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0071822860 |
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