This book describes several solution methods for ordinary differential equations.First, we start with basic concepts theories, as the Euler's Theorem and the differential operator.We introduce Laplace transforms with theoretical description, with several examples and practical exercises. Answers are listed in Annex A.Laplace inverse transforms and the Heaviside theorems are discussed, as their application in differential equations.Several examples and exercises are available.Other methods for differential equations resolution are presented with theoretical description and diverse examples and practical exercises.Integrating Factor method.Comparison of coefficients method.Nullifiers method.Variable coefficients method.The reader will have many different options to choose the most appropriated method to solve the problem.In Annex B, the reader will find a description of operations with complex numbers in Excel software.Those operations arises in profusion when the Laplace inverse transforms are applied.
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