differential equation of first order
1Matrix differential equation — A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders. A matrix differential equation is one containing more… …
2First-order — First or der, a. decaying at an exponential rate; a mathematical concept applied to various types of decay, such as radioactivity and chemical reactions. Note: In first order decay, the amount of material decaying in a given period of time is… …
3Differential equation — Not to be confused with Difference equation. Visualization of heat transfer in a pump casing, created by solving the heat equation. Heat is being generated internally in the casing and being cooled at the boundary, providing a steady state… …
4First order partial differential equation — In mathematics, a first order partial differential equation is a partial differential equation that involves only first derivatives of the unknown function of n variables. The equation takes the form: F(x 1,ldots,x n,u,u {x 1},ldots u {x n}) =0 …
5differential equation — Math. an equation involving differentials or derivatives. [1755 65] * * * Mathematical statement that contains one or more derivatives. It states a relationship involving the rates of change of continuously changing quantities modeled by… …
6Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …
7Ordinary differential equation — In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… …
8ordinary differential equation — Math. an equation containing derivatives but not partial derivatives. Cf. partial 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 …
9pseudo first order — First order First or der, a. decaying at an exponential rate; a mathematical concept applied to various types of decay, such as radioactivity and chemical reactions. Note: In first order decay, the amount of material decaying in a given period of …
10Linear differential equation — In mathematics, a linear differential equation is a differential equation of the form: Ly = f ,where the differential operator L is a linear operator, y is the unknown function, and the right hand side fnof; is a given function (called the source …
