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Linear Differential Equations and Oscillators (Mathematics and Physics for Science and Technology)

Luis Manuel Braga Da Costa Campos

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Description: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 canbe obtained from the roots of a characteristic polynomial, namely those: (i) with constantcoefficients; (ii) with homogeneous power coefficients with the exponent equal to the order ofderivation. The method of characteristic polynomials is also applied to (iii) linear finite differenceequations of any order with constant coefficients. The unforced and forced solutions of (i, ii, iii) areexamples of some general properties of ordinary differential equations.The second chapter applies the theory of the first chapter to linear second-order oscillators withone degree-of-freedom, such as the mechanical mass-damper-spring-force system and theelectrical self-resistor-capacitor-battery circuit. In both cases are treated free undamped, damped,and amplified oscillations; also forced oscillations including beats, resonance, discrete andcontinuous spectra, and impulsive inputs. Describes general properties of differential and finite difference equations, with focus on linear equations and constant and some power coefficientsPresents particular and general solutions for all cases of differential and finite difference equationsProvides complete solutions for many cases of forcing including resonant casesDiscusses applications to linear second-order mechanical and electrical oscillators with dampingProvides solutions with forcing including resonance using the characteristic polynomial, Green' s functions, trigonometrical series, Fourier integrals and Laplace transformsWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Linear Differential Equations and Oscillators (Mathematics and Physics for Science and Technology). To get started finding Linear Differential Equations and Oscillators (Mathematics and Physics for Science and Technology), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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ISBN: 0367137186

Description: 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 canbe obtained from the roots of a characteristic polynomial, namely those: (i) with constantcoefficients; (ii) with homogeneous power coefficients with the exponent equal to the order ofderivation. The method of characteristic polynomials is also applied to (iii) linear finite differenceequations of any order with constant coefficients. The unforced and forced solutions of (i, ii, iii) areexamples of some general properties of ordinary differential equations.The second chapter applies the theory of the first chapter to linear second-order oscillators withone degree-of-freedom, such as the mechanical mass-damper-spring-force system and theelectrical self-resistor-capacitor-battery circuit. In both cases are treated free undamped, damped,and amplified oscillations; also forced oscillations including beats, resonance, discrete andcontinuous spectra, and impulsive inputs. Describes general properties of differential and finite difference equations, with focus on linear equations and constant and some power coefficientsPresents particular and general solutions for all cases of differential and finite difference equationsProvides complete solutions for many cases of forcing including resonant casesDiscusses applications to linear second-order mechanical and electrical oscillators with dampingProvides solutions with forcing including resonance using the characteristic polynomial, Green' s functions, trigonometrical series, Fourier integrals and Laplace transformsWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Linear Differential Equations and Oscillators (Mathematics and Physics for Science and Technology). To get started finding Linear Differential Equations and Oscillators (Mathematics and Physics for Science and Technology), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Linear Differential Equations and Oscillators (Mathematics and Physics for Science and Technology)

Linear Differential Equations and Oscillators (Mathematics and Physics for Science and Technology)

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