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040			_aNISER LIBRARY _beng _erda _cNISER LIBRARY
082	0	0	_a621.8 _bCAM-L
100	1		_aCampos, Luis Manuel Braga da Costa
245	1	0	_aLinear differential equations and oscillators
260			_aBoca Raton : _bCRC Press/Taylor & Francis Group, _c2020.
300			_axxxvii, 285 pages
490			_aMathematics and physics for science and technology ; _vtopic B - Boundary and Initial-Value Problems, volume 4 - Ordinary differential equations with applications to trajectories and oscillations, book 7
504			_aIncludes bibliographical references and index.
520			_aLinear Differential Equations and Oscillators is the first book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This first book consists of chapters 1 and 2 of the fourth volume. The first chapter covers linear differential equations of any order whose unforced solution can be obtained from the roots of a characteristic polynomial, namely those: (i) with constant coefficients; (ii) with homogeneous power coefficients with the exponent equal to the order of derivation. The method of characteristic polynomials is also applied to (iii) linear finite difference equations of any order with constant coefficients. The unforced and forced solutions of (i,ii,iii) are examples of some general properties of ordinary differential equations. The second chapter applies the theory of the first chapter to linear second-order oscillators with one degree-of-freedom, such as the mechanical mass-damper-spring-force system and the electrical self-resistor-capacitor-battery circuit. In both cases are treated free undamped, damped, and amplified oscillations; also forced oscillations including beats, resonance, discrete and continuous spectra, and impulsive inputs.
650		0	_aVibrators _xMathematical models.
650		0	_aMechanical movements _xMathematical models.
650		0	_aOscillations _xMathematical models.
650		0	_aDifferential equations, Linear.
856			_3Table of content _uhttps://www.routledge.com/Linear-Differential-Equations-and-Oscillators/BragadaCostaCampos/p/book/9781032653716?srsltid=AfmBOoqqJDXCG85D4dl6tRELIqhVD8V1HTfaDx0YRV32layqCWL280qw#googlePreviewContainer
856			_3Reviews _uhttps://www.goodreads.com/book/show/197079081-linear-differential-equations-and-oscillators?ref=nav_sb_ss_1_13#CommunityReviews
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