Synopses & Reviews
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 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!
The Dummies Workbook Way
Quick refresher explanations
Step-by-step procedures
Hands-on practice exercises
Ample workspace to work out problems
Tear-out Cheat Sheet
A dash of humor and fun
Go to Dummies.com®for videos, step-by-step photos, how-to articles, or to shop the store!
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
Synopsis
Tips, tricks and lots of practice to help students get a handle on these complex calculus problems
Pre-calculus classes prepare students for studies in calculus and other advanced Differential equations are essential in physics, economics, engineering, and many other scientific and technical disciplines. This new Dummies Workbook is a hands-on companion for students grappling with differential equations in classes such as calculus, AP calculus, physics, and engineering. It features numerous practice exercises and clear, concise examples to help students improve their problem-solving skills and score better in science, math, and standardized tests. This practice-oriented workbook covers such challenging topics as first-order and second-order differential equations, constant coefficients, undetermined coefficients, variation of parameters, initial-value problems, the Laplace transform, and more.
About the Author
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.
Table of Contents
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.