 Differential EquationsZrinka Lukač ()
Chapter 21 in Economic Analysis Through Mathematics, 2026, pp 515-527 from Springer Abstract: Abstract In economic models, often it is important to know how the value of an economic variable changes over time. The relationship between variables is often described by a single equation or a system of equations that include the variables and also their derivatives. In the case when the value of these variables is observed in continuous time, we talk about differential equations. Differential equations are equations that relate the independent variable x and the unknown function y = y ( x ) $$y=y(x)$$ with the property that they contain at least one derivative of the function y or the differentials dx and dy. The order of the highest derivative (or differential) appearing in a given differential equation is called the order of that differential equation. In this chapter, we deal only with linear differential equations and show methods to solve them in the case of both the homogeneous and nonhomogeneous linear differential equations. Keywords: Differential equation; General solution; Particular solution; First-order linear differential equation; Homogeneous differential equation; Nonhomogeneous differential equation; Separable differential equation; Variation of constants method (search for similar items in EconPapers) There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:sptchp:978-3-032-08812-3_21 Ordering information: This item can be ordered from DOI: 10.1007/978-3-032-08812-3_21 Access Statistics for this chapter More chapters in Springer Texts in Business and Economics from Springer |
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