Differential Equations

George McCarty
Additional contact information
George McCarty: University of California

Chapter 14 in Calculator Calculus, 1982, pp 202-219 from Springer

Abstract: Abstract Applications of the calculus depend on interpretations of the derivative, such as the slope of a graph, a velocity or an acceleration, marginal profit or cost or revenue, a rate of growth or of decay. For example, acceleration is the derivative of speed for a moving vehicle. Thus if the acceleration of an object is known to be constantly 7, then its speed s(t) as a function of time satisfies the equation s’(t) = 7. This is called a differential equation: it is an equation involving the derivative of a function. The solution to this equation is not a number; it is the function s(t) = 7t + C, where 7 is the constant acceleration and C is the number s(0), the value of the speed at the time coordinate 0. In general, in differential equations the unknowns do not stand for numbers but for functions, and the solutions are functions.

Keywords: Taylor Series; Series Solution; Decimal Place; Solution Function; Remainder Term (search for similar items in EconPapers)
Date: 1982
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:978-1-4684-6484-9_14

Ordering information: This item can be ordered from
http://www.springer.com/9781468464849

DOI: 10.1007/978-1-4684-6484-9_14

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 ().