A First Course in Differential Equations-Hardcover, by Zill Dennis , 12th ed For Sale

Product IdentifiersPublisherCengage Product ID (ePID)19058370571Product Key FeaturesNumber of Pages464 PagesPublication NameFirst Course in Differential Equations with Modeling ApplicationsLanguageEnglishPublication Year2023SubjectDifferential Equations / ZillSubject Weight43.3 OzAdditional Product FeaturesEdition Number12Intended AudienceCollege AudienceDewey Decimal515.35Table Of Content1. INTRODUCTION TO DIFFERENTIAL EQUATIONS. Definitions and Terminology. Initial-Value Problems. Differential Equations as Mathematical Models. Chapter 1 in Review. 2. FIRST-ORDER DIFFERENTIAL EQUATIONS. Solution Curves Without a Solution. Separable Equations. Linear Equations. Exact Equations. Solutions by Substitutions. A Numerical Method. Chapter 2 in Review. 3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS. Linear Models. Nonlinear Models. Modeling with Systems of First-Order DEs. Chapter 3 in Review. 4. HIGHER-ORDER DIFFERENTIAL EQUATIONS. Theory of Linear Equations. Reduction of Order. Homogeneous Linear Equations with Constant Coefficients. Undetermined Coefficients-Superposition Approach. Undetermined Coefficients-Annihilator Approach. Variation of Parameters. Cauchy-Euler Equation. Green\'s Functions. Solving Systems of Linear DEs by Elimination. Nonlinear Differential Equations. Chapter 4 in Review. 5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS. Linear Models: Initial-Value Problems. Linear Models: Boundary-Value Problems. Nonlinear Models. Chapter 5 in Review. 6. SERIES SOLUTIONS OF LINEAR EQUATIONS. Review of Power Series. Solutions About Ordinary Points. Solutions About Singular Points. Special Functions. Chapter 6 in Review. 7. THE LAPLACE TRANSFORM. Definition of the Laplace Transform. Inverse Transform and Transforms of Derivatives. Operational Properties I. Operational Properties II. Dirac Delta Function. Systems of Linear Differential Equations. Chapter 7 in Review. 8. SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS. Theory of Linear Systems. Homogeneous Linear Systems. Nonhomogeneous Linear Systems. Matrix Exponential. Chapter 8 in Review. 9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS. Euler Methods and Error Analysis. Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems. Chapter 9 in Review. Appendix A: Integral-Defined Functions. Appendix B: Matrices. Appendix C: Table of Laplace Transforms. Answers to Selected Odd-Numbered Problems. Index.Edition DescriptionRevised editionSynopsisStraightforward and easy to read, Zill\'s A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 12th EDITION, gives you a thorough overview of the topics typically taught in a first course in differential equations. Your study of differential equations and its applications is supported by a bounty of pedagogical aids, including an abundance of examples, explanations, \"Remarks\" boxes, definitions and more.LC Classification NumberQA372.Z54 2023Item description from the seller\"A First Course in Differential Equations with Modeling Applications\" by Zill Dennis is a comprehensive textbook designed for adult and further education levels. This revised edition offers a beginner-level approach to understanding differential equations, with a focus on practical modeling applications. Published by Cengage Learning in 2023, thisHardcoverbook provides detailed explanations and examples to help students grasp complex concepts in mathematics. With 464 pages, this textbook is a valuable resource for those looking to deepen their knowledge of differential equations in a clear and accessible manner.