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Titlebook: Ordinary Differential Equations; William A. Adkins,Mark G. Davidson Textbook 2012 Springer Science+Business Media, LLC, part of Springer N

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發(fā)表于 2025-3-21 18:57:44 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Ordinary Differential Equations
編輯William A. Adkins,Mark G. Davidson
視頻videohttp://file.papertrans.cn/704/703675/703675.mp4
概述Contains numerous helpful examples and exercises that provide motivation for the reader.Presents the Laplace transform early in the text and uses it to motivate and develop solution methods for differ
叢書名稱Undergraduate Texts in Mathematics
圖書封面Titlebook: Ordinary Differential Equations;  William A. Adkins,Mark G. Davidson Textbook 2012 Springer Science+Business Media, LLC, part of Springer N
描述.Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations..Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equa
出版日期Textbook 2012
關(guān)鍵詞Laplace transform; discontinuous functions; existence theorem; first order differential equations; gener
版次1
doihttps://doi.org/10.1007/978-1-4614-3618-8
isbn_softcover978-1-4899-8767-9
isbn_ebook978-1-4614-3618-8Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media, LLC, part of Springer Nature 2012
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沙發(fā)
發(fā)表于 2025-3-21 20:36:24 | 只看該作者
0172-6056 uses it to motivate and develop solution methods for differ.Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly w
板凳
發(fā)表于 2025-3-22 01:21:02 | 只看該作者
Linear Systems of Differential Equations,ese cases, the system we wish to describe is adequately represented by a single function of time. However, a single ordinary differential equation is inadequate for describing the evolution over time of a system with interdependent subsystems, each with its own state.
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發(fā)表于 2025-3-22 07:37:29 | 只看該作者
Linear Constant Coefficient Differential Equations,ed at time .. There are two spring forces acting on the upper body. By Hooke’s law, the force of the upper spring is???....(.) while the force of the lower spring is given by ..(..(.)???..(.)), where .. and .. are the respective spring constants. Newton’s law of motion then implies
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Discontinuous Functions and the Laplace Transform,e have already considered. For example, imagine a mixing problem (see Example 11 of Sect. . and the discussion that followed it for a review of mixing problems) where there are two sources of incoming salt solutions with different concentrations as illustrated in the following diagram.
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William A. Adkins,Mark G. Davidson wird. Als Folge sollen deutsche Wirtschaftspolitiklehrstühle umstrukturiert werden, indem Wirtschaftstheorie und Wirtschaftspolitik nicht mehr strikt voneinander getrennt und verst?rkt empirische Daten in wirtschaftswissenschaftlichen Untersuchungen genutzt werden.. Vorteil w?re eine bessere Verzah
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