Details

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

<p><b>Steven Holzner, PhD,</b> served on the faculty of Cornell University and Massachusetts Institute of Technology. He is an award-winning author who has written <i>Physics For Dummies, Quantum Physics For Dummies, </i>and more.

<ul> <li>Make sense of these difficult equations</li> <li>Improve your problem-solving skills</li> <li>Practice with clear, concise examples</li> <li>Score higher on standardized tests and exams</li> </ul> <p><b><i>Get the confidence and the skills you need to master differential equations!</i></b> <p>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! <p><b>More than 100 Problems!</b> <p>Detailed, fully worked-out solutions to problems<br/> The inside scoop on first, second, and higher order differential equations<br/> A wealth of advanced techniques, including power series <p><b>THE DUMMIES WORKBOOK WAY</b> <p>Quick, refresher explanations<br/> Step-by-step procedures<br/> Hands-on practice exercises<br/> Ample workspace to work out problems<br/> Online Cheat Sheet<br/> A dash of humor and fun

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