Differential Equations Workbook For Dummies

ISBN-13: 9780470472019 / Angielski / Miękka / 2009 / 320 str.

Steven Holzner

Opis

• Make sense of these difficult equations
• Improve your problem-solving skills
• Practice with clear, concise examples
• Score higher on standardized tests and exams

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 get valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every equation. You'll also memorize the most-common types of differential equations, see how to avoid common mistakes, get tips and tricks for advanced problems, improve your exam scores, and much more More than 100 Problems Detailed, fully worked-out solutions to problems
The inside scoop on first, second, and higher order differential equations
A wealth of advanced techniques, including power series THE DUMMIES WORKBOOK WAY Quick, refresher explanations
Step-by-step procedures
Hands-on practice exercises
Ample workspace to work out problems
Online Cheat Sheet
A dash of humor and fun

Spis treści

Introduction.

Part I: Tackling First Order Differential Equations.

Chapter 1: Looking Closely at Linear First Order Differential Equations.

Chapter 2: Surveying Separable First Order Differential Equations.

Chapter 3: Examining Exact First Order Differential Equations.

Part II: Finding Solutions to Second and Higher Order Differential Equations.

Chapter 4: Working with Linear Second Order Differential Equations.

Chapter 5: Tackling Nonhomogeneous Linear Second Order Differential Equations.

Chapter 6: Handling Homogeneous Linear Higher Order Differential Equations.

Chapter 7: Taking On Nonhomogeneous Linear Higher Order Differential Equations.

Part III: The Power Stuff: Advanced Techniques.

Chapter 8: Using Power Series to Solve Ordinary Differential Equations.

Chapter 9: Solving Differential Equations with Series Solutions Near Singular Points.

Chapter 10: Using Laplace Transforms to Solve Differential Equations.

Chapter 11: Solving Systems of Linear First Order Differential Equations.

Part IV: The Part of Tens.

Chapter 12: Ten Common Ways of Solving Differential Equations.

Chapter 13: Ten Real–World Applications of Differential Equations.

Index.

O autorze

Steven Holzner, PhD, served on the faculty of Cornell University and Massachusetts Institute of Technology. He is an award–winning author who has written Physics For Dummies, Quantum Physics For Dummies, and more.