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first-order 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

  • 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

  • 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

  • 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 time is… …   The Collaborative International Dictionary of English

  • Bernoulli differential equation — This topic in mathematics is named after Jakob Bernoulli. See Bernoulli s principle for an unrelated topic in fluid dynamics, named after the inventor Daniel Bernoulli. In mathematics, an ordinary differential equation of the form :y + P(x)y =… …   Wikipedia

  • Hyperbolic partial differential equation — In mathematics, a hyperbolic partial differential equation is usually a second order partial differential equation (PDE) of the form :A u {xx} + 2 B u {xy} + C u {yy} + D u x + E u y + F = 0 with: det egin{pmatrix} A B B C end{pmatrix} = A C B^2 …   Wikipedia

  • First 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 …   Wikipedia

  • differential 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… …   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

  • Parabolic partial differential equation — A parabolic partial differential equation is a type of second order partial differential equation, describing a wide family of problems in science including heat diffusion and stock option pricing. These problems, also known as evolution problems …   Wikipedia

  • pseudo 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 …   The Collaborative International Dictionary of English

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