Simultaneous Systems of Differential Equations and Multi-dimensional Oscillators

1st Edition

Luis Manuel Braga da Costa Campos

CRC Press
May 1, 2019 Forthcoming
Reference - 344 Pages - 34 B/W Illustrations
ISBN 9780367137212 - CAT# K409907
Series: Mathematics and Physics for Science and Technology

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Summary


This fourth book of Ordinary Differential Equations with Applications to Trajectories and
Vibrations, Six-Volume Set, extends the methods of the first three books from a single ordinary
differential equation to a simultaneous system. The application is made to temporal dependence of
multi-dimensional oscillators with several interrelated degrees-of-freedom in the presence of
damping and forcing leading for example to multiple resonances. The solution of the general partial
differential equations of mathematical physics is also considered by separation of variables
leading to ordinary differential equations, some of which relate to special functions.

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