Introdução às Equações Diferenciais Ordinárias
Reginaldo J. Santos, Universidad Federal de Minas Gerais
Imprensa Universitaria da Universidade Federal de Minas Gera, 2012
ISBN: 978-85-7470-021-2;
Language: Portuguese
Written for graduate students, this book provides comprehensive coverage of ordinary differential equations. The book begins with an introduction to differential equations and includes demonstrations of some results such as existence and uniqueness of solutions, injectivity of the Laplace transform, and existence of solutions in power series. Topics include first-order differential equations, exact differential equations, second-order differential equations, and systems of linear differential equations.
MATLAB and Symbolic Math Toolbox are used to solve numerous examples in the book. In addition, a supplemental set of MATLAB code files is available for download.
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