Book description
Making Everything Easier!
Differential Equations Workbook for Dummies
Make sense of these difficult equations
Improve your problemsolving 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 easytofollow, handson workbook helps you master the basic concepts and work through the types of problems you'll encounter in your coursework. You get valuable exercises, problemsolving shortcuts, plenty of workspace, and stepbystep solutions to every equation. You'll also memorize the mostcommon types of differential equations, see how to avoid common mistakes, get tips and tricks for advanced problems, improve your exam scores, and much more!
The Dummies Workbook Way
Quick refresher explanations
Stepbystep procedures
Handson practice exercises
Ample workspace to work out problems
Tearout Cheat Sheet
A dash of humor and fun
Go to Dummies.com®for videos, stepbystep photos, howto articles, or to shop the store!
More than 100 problems!
Detailed, fully workedout solutions to problems
The inside scoop on first, second, and higher order differential equations
A wealth of advanced techniques, including power series
Table of contents
 Copyright
 About the Author
 Dedication
 Author's Acknowledgments
 Publisher's Acknowledgments
 Introduction

Tackling First Order Differential Equations

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 y
 Integrating Factors: A Trick of the Trade
 Answers to Linear First Order Differential Equation Problems

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
 Examining Exact First Order Differential Equations

Looking Closely at Linear First Order Differential Equations
 Finding Solutions to Second and Higher Order Differential Equations

The Power Stuff: Advanced Techniques
 Using Power Series to Solve Ordinary Differential Equations
 Solving Differential Equations with Series Solutions Near Singular Points
 Using Laplace Transforms to Solve Differential Equations

Solving Systems of Linear First Order Differential Equations
 Back to the Basics: Adding (And Subtracting) Matrices
 An Exercise in Muddying Your Mind: Multiplying Matrices
 Determining the Determinant
 More Than Just Tongue Twisters: Eigenvalues and Eigenvectors
 Solving Differential Equation Systems
 Answers to Systems of Linear First Order Differential Equation Problems

The Part of Tens

Ten Common Ways of Solving Differential Equations
 Looking at Linear Equations
 Scoping Out Separable Equations
 Applying the Method of Undetermined Coefficients
 Honing in on Homogeneous Equations
 Examining Exact Equations
 Finding Solutions with the Help of Integrating Factors
 Getting Serious Answers with Series Solutions
 Turning to Laplace Transforms for Solutions
 Determining whether a Solution Exists
 Solving Equations with ComputerBased Numerical Methods

Ten RealWorld Applications of Differential Equations
 Calculating Population Growth
 Determining Fluid Flow
 Mixing Fluids
 Finding Out Facts about Falling Objects
 Calculating Trajectories
 Analyzing the Motion of Pendulums
 Applying Newton's Law of Cooling
 Determining Radioactive Decay
 Studying InductorResistor Circuits
 Calculating the Motion of a Mass on a Spring

Ten Common Ways of Solving Differential Equations
 Index
Product information
 Title: Differential Equations Workbook For Dummies®
 Author(s):
 Release date: August 2009
 Publisher(s): For Dummies
 ISBN: 9780470472019
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