Differential equations workbook for dummies / by Steven Holzner.

Format:

Book

Author/Creator:

Holzner, Steven.

Series:

--For dummies.

--For dummies

Language:

English

Subjects (All):

Differential equations.

Differential equations--Problems, exercises, etc.

Physical Description:

1 online resource (315 p.)

Place of Publication:

Hoboken, NJ : John Wiley & Sons Inc, 2009.

Language Note:

English

Summary:

Making Everything Easier! Differential Equations Workbook for Dummies Make sense of these difficult equations Improve your problem-solving skills Practice with clear, concise examples Score higher on standardized tests and exams Steven Holzner, PhD Author, Differential Equations For Dummies Get the confidence and the skills you need to master differential equations! Need to know how to solve differential equations? This easy-to-follow, hands-on workbook helps you master the basic concepts and work through the types of problems you'll encounter in your coursework. You

Contents:

Differential Equations Workbook For Dummies®; About the Author; Dedication; Author's Acknowledgments; Contents at a Glance; Table of Contents; Introduction; About This Book; Conventions Used in This Book; Foolish Assumptions; How This Book Is Organized; Icons Used in This Book; Where to Go from Here; Part I: Tackling First Order Differential Equations; Chapter 1: Looking Closely at Linear First Order Differential Equations; Identifying Linear First Order Differential Equations; Solving Linear First Order Differential Equations That Don't Involve Terms in y

Solving Linear First Order Differential Equations That Involve Terms in yIntegrating Factors: A Trick of the Trade; Answers to Linear First Order Differential Equation Problems; Chapter 2: Surveying Separable First Order Differential Equations; The Ins and Outs of Working with Separable Differential Equations; Finding Implicit Solutions; Getting Tricky: Separating the Seemingly Inseparable; Practicing Your Separation Skills; An Initial Peek at Separable Equations with Initial Conditions; Answers to Separable First Order Differential Equation Problems

Chapter 3: Examining Exact First Order Differential EquationsExactly, Dear Watson: Determining whether a Differential Equation Is Exact; Getting Answers from Exact Differential Equations; Answers to Exact First Order Differential Equation Problems; Part II: Finding Solutions to Second and Higher Order Differential Equations; Chapter 4: Working with Linear Second Order Differential Equations; Getting the Goods on Linear Second Order Differential Equations; Finding the Solution When Constant Coefficients Come into Play; Answers to Linear Second Order Differential Equation Problems

Chapter 5: Tackling Nonhomogeneous Linear Second Order Differential EquationsFinding the General Solution for Differential Equations with a Nonhomogeneous erx Term; Getting the General Solution When g (x) Is a Polynomial; Solving Equations with a Nonhomogeneous Term That Involves Sines and Cosines; Answers to Nonhomogeneous Linear Second Order Differential Equation Problems; Chapter 6: Handling Homogeneous Linear Higher Order Differential Equations; Distinctly Different: Working with Real and Distinct Roots; A Cause for Complexity: Handling Complex Roots

Identity Issues: Solving Equations When Identical Roots Are InvolvedAnswers to Homogeneous Linear Higher Order Differential Equation Problems; Chapter 7: Taking On Nonhomogeneous Linear Higher Order Differential Equations; Seeking Out Solutions of the Form Aerx; Trying for a Solution in Polynomial Form; Working with Solutions Made Up of Sines and Cosines; Answers to Nonhomogeneous Linear Higher Order Differential Equation Problems; Chapter 8: Using Power Series to Solve Ordinary Differential Equations; Checking On a Series with the Ratio Test; Shifting the Series Index

Exploiting the Power of Power Series to Find Series Solutions

Notes:

Includes index.

ISBN:

0-470-54389-2

OCLC:

460107887