- first-order differential equation
- ensimmäisen kertaluvun differentiaaliyhtälö
English-Finnish mathematical dictionary. 2011.
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
