04108cam a2200553Mi 4500 9780429028984 FlBoTFG 20260210180819.0 m o d cr |n||||||||| 191107s2018 flu ob 001 0 eng OCoLC-P eng rda OCoLC-P 9780429028984 (electronic bk) 0429028989 (electronic bk) 9780429642791 (electronic bk. : PDF) 0429642792 (electronic bk. : PDF) 9780429639623 (electronic bk. : EPUB) 0429639627 (electronic bk. : EPUB) 9780429636455 (electronic bk. : Mobipocket) 0429636458 (electronic bk. : Mobipocket) 9780367137182 0367137186 (OCoLC)1127538440 (OCoLC-P)1127538440 TJ208 .C36 2018 MAT 003000 bisacsh MAT 007000 bisacsh MED 000000 bisacsh TBJ bicssc 621.8 23 Campos, Luis Manuel Braga da Costa, author. Linear differential equations and oscillators / Luis Manuel Braga da Campos. Boca Raton : Taylor & Francis, a CRC title, part of the Taylor & Francis imprint, a member of the Taylor & Francis Group, the academic division of T & F Informa, plc, 2018. 1 online resource (pages cm.) text txt rdacontent computer c rdamedia online resource cr rdacarrier Linear 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. Describes general properties of differential and finite difference equations, with focus on linear equations and constant and some power coefficients Presents particular and general solutions for all cases of differential and finite difference equations Provides complete solutions for many cases of forcing including resonant cases Discusses applications to linear second-order mechanical and electrical oscillators with damping Provides solutions with forcing including resonance using the characteristic polynomial, Green' s functions, trigonometrical series, Fourier integrals and Laplace transforms OCLC-licensed vendor bibliographic record. Vibrators Mathematical models. Mechanical movements Mathematical models. Oscillations Mathematical models. Differential equations, Linear. MATHEMATICS / Applied bisacsh MATHEMATICS / Differential Equations bisacsh MEDICAL / General bisacsh Taylor & Francis https://www.taylorfrancis.com/books/9780429028984 OCLC metadata license agreement http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf 91782 91781