Produktdetaljer
Biografisk notat
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.
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.
Introduction 1
Part I: Tackling First Order Differential Equations 5
Chapter 1: Looking Closely at Linear First Order Differential Equations 7
Chapter 2: Surveying Separable First Order Differential Equations 29
Chapter 3: Examining Exact First Order Differential Equations 59
Part II: Finding Solutions to Second and Higher Order Differential Equations 79
Chapter 4: Working with Linear Second Order Differential Equations 81
Chapter 5: Tackling Nonhomogeneous Linear Second Order Differential Equations 105
Chapter 6: Handling Homogeneous Linear Higher Order Differential Equations 129
Chapter 7: Taking On Nonhomogeneous Linear Higher Order Differential Equations 153
Part III: The Power Stuff: Advanced Techniques 175
Chapter 8: Using Power Series to Solve Ordinary Differential Equations 177
Chapter 9: Solving Differential Equations with Series Solutions Near Singular Points 199
Chapter 10: Using Laplace Transforms to Solve Differential Equations 225
Chapter 11: Solving Systems of Linear First Order Differential Equations 249
Part IV: The Part of Tens 273
Chapter 12: Ten Common Ways of Solving Differential Equations 275
Chapter 13: Ten Real-World Applications of Differential Equations 279
Index 283
- 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
Produktdetaljer
Biografisk notat
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.