CliffsQuickReview course guides cover the essentials of your toughest subjects. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions.Whether you need a course supplement, help preparing for an exam, or a concise reference for the subject, CliffsQuickReview Differential Equations can help. This guide covers first-order and second-order equations, power series, and more. In no time, you'll be tackling topics such asLinear and homogeneous equationsIntegrating factorsThe Laplace transform operatorSimple harmonic motionOrthogonal trajectoriesCliffsQuickReview Differential Equations acts as a supplement to your other learning materials. Use this reference in any way that fits your personal style for study and review — you decide what works best with your needs. You can flip through the book until you find what you're looking for — it's organized to gradually build on key concepts. You can also get a feel for the scope of the book by checking out theContents pages that give you a chapter-by-chapter list of topics.Tabs at the top of each page that tell you what topic is being covered.Heading and subheading structure that breaks sections into clearly identifiable bites of information.Keywords in boldface type throughout the text.Wealth of formulas and figures designed to provide visual references.With titles available for all the most popular high school and college courses, CliffsQuickReview guides are comprehensive resources that can help you get the best possible grades.
Author(s): Steven A. Leduc
Edition: 1
Year: 1995
Language: English
Pages: 192
Cliffs Quick Review Differential Equations......Page 3
Contents......Page 5
Differentiation......Page 7
Partial Differentiation......Page 14
Integration......Page 16
Techniques of Indefinite Integration......Page 18
Partial Integration......Page 22
Introduction to Differential Equations......Page 24
Exact Equations......Page 35
Integrating Factors......Page 40
Seperable Equations......Page 47
Homogeneous Equations......Page 53
Linear Equations......Page 58
Bernoulli's Equation......Page 66
Linear Combinations & Linear Independence......Page 69
Linear Equations......Page 72
Homogeneous Equations......Page 73
Homogeneous Linear Equations with Constant Coefficients......Page 77
The Method of Undeteremined Coefficients......Page 83
Variation of Parameters......Page 96
Cauchy-Euler Equidimensional Equation......Page 103
Reduction of Order......Page 106
Introduction to Power Series......Page 119
Taylor Series......Page 123
Power Series Solutions of Differential Equations......Page 129
Linear Transformations......Page 141
The Laplace Transform Operator......Page 143
Using the Laplace Transform to Solve Differential Equations......Page 154
Applications of First-Order Equations......Page 163
Applications of Second-order Equations......Page 177
