Differential Equations For Dummies

The fun and easy way to understand and solve complexequationsMany of the fundamental laws of physics, chemistry, biology, andeconomics can be formulated as differential equations. Thisplain-English guide explores the many applications of thismathematical tool and shows how differential equations can help usunderstand the world around us. Differential Equations ForDummies is the perfect companion for a college differentialequations course and is an ideal supplemental resource for othercalculus classes as well as science and engineering courses. Itoffers step-by-step techniques, practical tips, numerous exercises,and clear, concise examples to help readers improve theirdifferential equation-solving skills and boost their testscores.

Introduction.Part I: Focusing on First Order DifferentialEquations.Chapter 1: Welcome to the World of Differential Equations.Chapter 2: Looking at Linear First Order DifferentialEquations.Chapter 3: Sorting Out Separable First Order DifferentialEquations.Chapter 4: Exploring Exact First Order Differential Equationsand Euler's Method.Part II: Surveying Second and Higher Order DifferentialEquations.Chapter 5: Examining Second Order Linear HomogeneousDifferential Equations.Chapter 6: Studying Second Order Linear NonhomogeneousDifferential Equations.Chapter 7: Handling Higher Order Linear Homogeneous DifferentialEquations.Chapter 8: Taking On Higher Order Linear NonhomogeneousDifferential Equations.Part III: The Power Stuff: Advanced Techniques.Chapter 9: Getting Serious with Power Series and OrdinaryPoints.Chapter 10: Powering through Singular Points.Chapter 11: Working with Laplace Transforms.Chapter 12: Tackling Systems of First Order Linear DifferentialEquations.Chapter 13: Discovering Three Fail-Proof Numerical Methods.Part IV: The Part of Tens.Chapter 14: Ten Super-Helpful Online Differential EquationTutorials.Chapter 15: Ten Really Cool Online Differential Equation SolvingTools.Index.