differential equation

English - Turkish

Definition of differential equation in English Turkish dictionary

(Matematik) diferensiyel denklem

(Matematik) türetik denklem

(Bilgisayar) türevsel denklem

diferensiyal denklem

diferansiyel denklem

Related Terms

ordinary differential equation

(Matematik) adi diferensiyel denklem

ordinary differential equation

(Bilgisayar,Matematik) bayağı türevsel denklem

hermite's differential equation

hermite diferansiyel denklemi

homogeneous differential equation

homojen diferansiyel denklem

hyperbolic differential equation

hiperbolik diferansiyel denklem

legendre differential equation

legendre diferansiyel denklemi

linear differential equation

doğrusal diferansiyel denklem

partial differential equation

kısmi diferansiyel eşitlik

Partial Differential Equation

Kısmı diferansiyel denklem

partial differential equation

kısmı diferansiyel eşitlik

exact differential equation

(Matematik) tam türetke denklemi

exact differential equation

(Matematik) tam diferansiyel denklemi

order of a differential equation

turevsel deklemin derecesi

ordinary differential equation

bayagi turevsel denklem

English - English

Definition of differential equation in English English dictionary

an equation involving the derivatives of a function

an equation containing differentials of a function

equation that expresses the connection between a variable and its derivative and whose solution is a function (Mathematics)

An equation that expresses a relationship between functions and their derivatives. Mathematical statement that contains one or more derivatives. It states a relationship involving the rates of change of continuously changing quantities modeled by functions. Differential equations are very common in physics, engineering, and all fields involving quantitative study of change. They are used whenever a rate of change is known but the process giving rise to it is not. The solution of a differential equation is generally a function whose derivatives satisfy the equation. Differential equations are classified into several broad categories. The most important are ordinary differential equations (ODEs), in which change depends on a single variable, and partial differential equations (PDEs), in which change depends on several variables. See also differentiation

Related Terms

delay differential equation

a type of differential equation in which the derivative of the unknown function at a certain time is given in terms of the values of the function at previous times

differential equation.

diff EQ

differential equations

plural form of differential equation

ordinary differential equation

An equation involving the derivatives of a function of only one independent variable

partial differential equation

a differential equation that involves the partial derivatives of a function of several variables

stochastic differential equation

a type of differential equation in which one or more of the terms is a stochastic process resulting in a solution which is itself a stochastic process

ordinary differential equation

Equation containing derivatives of a function of a single variable. Its order is the order of the highest derivative it contains (e.g., a first-order differential equation involves only the first derivative of the function). Because the derivative is a rate of change, such an equation states how a function changes but does not specify the function itself. Given sufficient initial conditions, however, such as a specific function value, the function can be found by various methods, most based on integration

partial differential equation

A differential equation containing at least one partial derivative. In mathematics, an equation that contains partial derivatives, expressing a process of change that depends on more than one independent variable. It can be read as a statement about how a process evolves without specifying the formula defining the process. Given the initial state of the process (such as its size at time zero) and a description of how it is changing (i.e., the partial differential equation), its defining formula can be found by various methods, most based on integration. Important partial differential equations include the heat equation, the wave equation, and Laplace's equation, which are central to mathematical physics

partial differential equation

a differential equation involving a functions of more than one variable

Hyphenation

dif·fer·en·tial e·qua·tion

Turkish pronunciation

dîfırenşıl îkweyjın

Pronunciation

/ˌdəfərˈensʜəl əˈkwāᴢʜən/ /ˌdɪfɜrˈɛnʃəl ɪˈkweɪʒən/

Etymology

() Coined by Leibniz in 1676.