Differential Equations Workbook For Dummies^®

by Steven Holzner

• ISBN13: 9780470543894
• ISBN10: 0470543892
• Format: eBook
• Copyright: 2009-06-01
• Publisher: For Dummies

Summary

Tips, tricks and lots of practice to help students get a handle on these complex calculus problemsPre-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.

Table of Contents

Introduction

Tackling First Order Differential Equations

Looking Closely at Linear First Order Differential Equations

Surveying Separable First Order Differential Equations

Examining Exact First Order Differential Equations

Finding Solutions to Second and Higher Order Differential Equations

Working with Linear Second Order Differential Equations

Tackling Nonhomogeneous Linear Second Order Differential Equations

Handling Homogeneous Linear Higher Order Differential Equations

Taking On Nonhomogeneous Linear 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

The Part of Tens

Ten Common Ways of Solving Differential Equations

Ten Real-World Applications of Differential Equations

Index

Table of Contents provided by Publisher. All Rights Reserved.