differential equation

listen to the pronunciation of differential equation
الإنجليزية - الإنجليزية
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
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
differential equation

    الواصلة

    dif·fer·en·tial e·qua·tion

    التركية النطق

    dîfırenşıl îkweyjın

    النطق

    /ˌdəfərˈensʜəl əˈkwāᴢʜən/ /ˌdɪfɜrˈɛnʃəl ɪˈkweɪʒən/

    علم أصول الكلمات

    () Coined by Leibniz in 1676.
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