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Titlebook: Differential Equations: Methods and Applications; Belkacem Said-Houari Textbook 2015 Springer International Publishing Switzerland 2015 Fi

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書目名稱Differential Equations: Methods and Applications
編輯Belkacem Said-Houari
視頻videohttp://file.papertrans.cn/279/278708/278708.mp4
概述The book is very simple to read and it presents the ideas and the methods very clearly.It contains numerous exercises with detailed solutions included.In addition the volume of the book is not very la
叢書名稱Compact Textbooks in Mathematics
圖書封面Titlebook: Differential Equations: Methods and Applications;  Belkacem Said-Houari Textbook 2015 Springer International Publishing Switzerland 2015 Fi
描述This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples. Focusing on the modeling of real-world phenomena, it begins with a basic introduction to differential equations, followed by linear and nonlinear first order equations and a detailed treatment of the second order linear equations. After presenting solution methods for the Laplace transform and power series, it lastly presents systems of equations and offers an introduction to the stability theory..To help readers practice the theory covered, two types of exercises are provided: those that illustrate the general theory, and others designed to expand on the text material. Detailed solutions to all the exercises are included..The book is excellently suited for use as a textbook for an undergraduate class (of all disciplines) in ordinary differential equations.?.
出版日期Textbook 2015
關(guān)鍵詞First order differential equations; Second order differential equations; Laplace transform; Power serie
版次1
doihttps://doi.org/10.1007/978-3-319-25735-8
isbn_softcover978-3-319-25734-1
isbn_ebook978-3-319-25735-8Series ISSN 2296-4568 Series E-ISSN 2296-455X
issn_series 2296-4568
copyrightSpringer International Publishing Switzerland 2015
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沙發(fā)
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板凳
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Radiology Illustrated: Chest Radiologymple applications of differential equations..An object of mass . is released from a certain height . above the ground and falls under the force of gravity . We want to write a mathematical model that describe the change of the height . with respect to time .. We assume that at time .?=?., we know th
地板
發(fā)表于 2025-3-22 05:36:51 | 只看該作者
Kyung Soo Lee,Joungho Han,Yeon Joo Jeongoefficients . and .. In this chapter we will discuss the methods of solving linear second order differential equations the form: . where . is the unknown (the dependent variable), . and . are continuous functions on some interval . with . for . in .. The function . usually known as the input or the
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https://doi.org/10.1007/978-3-642-55412-4al differential equation into an algebraic expression which can then simply be transformed once again using the inverse Laplace transform into the solution of the original problem..Before entering into the details, let us first make a connection between the Laplace transform and the power series. We
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發(fā)表于 2025-3-22 15:46:46 | 只看該作者
Lymphoma and Metastasis of the Stomacharacteristic equation. There is no similar procedure for solving linear differential equation with variable coefficients. The Laplace transform method that we studied in 4 can be an effective tool for some special cases, but as we have seen for the Laplace transform method, it is not always easy to
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Inflammatory Disease of the Small Bowelf solving general differential equations, we do not know the explicit solutions of many important differential equations or sometimes we need just to know some information about the solutions like their behavior when . (the independent variable) becomes very large. Furthermore, maybe it is not worth
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發(fā)表于 2025-3-23 01:34:50 | 只看該作者
Kyung Soo Lee,Joungho Han,Yeon Joo JeongThis chapter is devoted to the study of first order differential equations. We first classify the type of the differential equation that we want to solve, then for each type we apply the appropriate method.
10#
發(fā)表于 2025-3-23 06:48:39 | 只看該作者
First-Order Differential Equations,This chapter is devoted to the study of first order differential equations. We first classify the type of the differential equation that we want to solve, then for each type we apply the appropriate method.
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