Higher-Order Differential Equations

Sever Angel Popescu and Marilena Jianu
Additional contact information
Sever Angel Popescu: Technical University of Civil Engineering of Bucharest, Department of Mathematics and Computer Science
Marilena Jianu: Technical University of Civil Engineering of Bucharest, Department of Mathematics and Computer Science

Chapter Chapter 2 in Advanced Mathematics for Engineers and Physicists, 2022, pp 45-99 from Springer

Abstract: Abstract Chapter 2 is devoted to higher order differential equations, mainly to linear differential equations. We introduce the vector space of the solutions of a homogeneous linear differential equation and the affine space of the solutions for the non-homogeneous case. Linear equations with constant coefficients are placed in the foreground, because in this case we have a closed-form solution for homogeneous equations, as well as for a wide class of non-homogeneous equations. We also present the Euler-type equations which have variable coefficients but can be transformed into linear equations with constant coefficients.

Date: 2022
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-21502-5_2

Ordering information: This item can be ordered from
http://www.springer.com/9783031215025

DOI: 10.1007/978-3-031-21502-5_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().