Systems of Linear Differential Equations

Martin Hermann and Masoud Saravi
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Martin Hermann: Friedrich Schiller University, Institute of Applied Mathematics
Masoud Saravi: Islamic Azad University Nour Branch, Department of Mathematics

Chapter Chapter 5 in A First Course in Ordinary Differential Equations, 2014, pp 119-144 from Springer

Abstract: Abstract In Chap.5 systems of first-order differential equations are studied. For low-dimensional systems, elimination techniques using the D operator and Laplace transforms are presented. For larger systems, the matrix-vector notation is used and the solution of the homogeneous system is represented on the basis of the eigenvalues of the corresponding characteristic equation. For the determination of a particular solution of the inhomogeneous system, the method of variation of constants and the method of undetermined coefficients are described.

Keywords: Undetermined Coefficients; Laplace Transform; Matrix-vector Notation; Second-order Linear ODEs; Auxiliary Equation (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1835-7_5

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DOI: 10.1007/978-81-322-1835-7_5

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