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

* Make sense of these difficult equations* Improve your problem-solving skills* Practice with clear, concise examples* Score higher on standardized tests and examsGet 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 problemsThe inside scoop on first, second, and higher order differential equationsA wealth of advanced techniques, including power seriesTHE DUMMIES WORKBOOK WAYQuick, refresher explanationsStep-by-step proceduresHands-on practice exercisesAmple workspace to work out problemsOnline Cheat SheetA dash of humor and fun

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