Second-Order Differential Equations

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

Chapter Chapter 3 in A First Course in Ordinary Differential Equations, 2014, pp 45-92 from Springer

Abstract: Abstract Chapter 3 is devoted to analytical methods for the solution of scalar second-order differential equations. Subsequent to the introduction of higher-order equations, solution methods for homogeneous differential equations are presented. This includes, among others, the method of order reduction, solution techniques for exact and pseudo-exact equations, and methods for equations with constant coefficients. Then, solution methods for inhomogeneous equations are presented. Special attention is paid to the method of undetermined coefficients, the method of variation of parameters, and the method of operators.

Keywords: Second-order Scalar Differential Equations; Order Reduction; Undetermined Coefficients; Second-order Linear ODEs; Cauchy Euler Equation (search for similar items in EconPapers)
Date: 2014
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:978-81-322-1835-7_3

Ordering information: This item can be ordered from
http://www.springer.com/9788132218357

DOI: 10.1007/978-81-322-1835-7_3

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 ().