degree of differential equation

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• Differential 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… …   Wikipedia

• Partial 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… …   Wikipedia

• ordinary 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 …   Universalium

• Ordinary 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… …   Wikipedia

• Linear 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 …   Wikipedia

• partial differential equation — Math. a differential equation containing partial derivatives. Cf. ordinary differential equation. [1885 90] * * * In mathematics, an equation that contains partial derivatives, expressing a process of change that depends on more than one… …   Universalium

• Linear differential equation — Linear Lin e*ar (l[i^]n [ e]*[ e]r), a. [L. linearis, linearius, fr. linea line: cf. F. lin[ e]aire. See 3d {Line}.] 1. Of or pertaining to a line; consisting of lines; in a straight direction; lineal. [1913 Webster] 2. (Bot.) Like a line;… …   The Collaborative International Dictionary of English

• Homogeneous differential equation — A homogeneous differential equation has several distinct meanings.One meaning is that a first order ordinary differential equation is homogeneous if it has the form : frac{dy}{dx} = F(y/x).To solve such equations, one makes the change of… …   Wikipedia

• Order of a differential equation — Order Or der, n. [OE. ordre, F. ordre, fr. L. ordo, ordinis. Cf. {Ordain}, {Ordinal}.] [1913 Webster] 1. Regular arrangement; any methodical or established succession or harmonious relation; method; system; as: (a) Of material things, like the… …   The Collaborative International Dictionary of English

• Equation — E*qua tion, n. [L. aequatio an equalizing: cf. F. [ e]quation equation. See {Equate}.] 1. A making equal; equal division; equality; equilibrium. [1913 Webster] Again the golden day resumed its right, And ruled in just equation with the night.… …   The Collaborative International Dictionary of English

• Equation box — Equation E*qua tion, n. [L. aequatio an equalizing: cf. F. [ e]quation equation. See {Equate}.] 1. A making equal; equal division; equality; equilibrium. [1913 Webster] Again the golden day resumed its right, And ruled in just equation with the… …   The Collaborative International Dictionary of English