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Differential Equations Workbook For Dummies
Steven Holzner (Author)
9780470472019, Wiley
Paperback / softback, published 28 July 2009
320 pages
25.2 x 20.1 x 1.8 cm, 0.431 kg
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
Subject Areas: Mathematics [PB]
