first-degree equation

  • 31Quintic equation — In mathematics, a quintic equation is a polynomial equation of degree five. It is of the form::ax^5+bx^4+cx^3+dx^2+ex+f=0, where a e 0.(if a = 0, then the equation becomes a quartic equation). (if a and b = 0, then the equation becomes a cubic… …

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  • 32Differential 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… …

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  • 33Partial 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… …

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  • 34Quartic equation — In mathematics, a quartic equation is one which can be expressed as a quartic function equalling zero. The general form of a quartic equation is:ax^4+bx^3+cx^2+dx+e=0 ,where a ne; 0.The quartic is the highest order polynomial equation that can be …

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  • 35Price equation — The Price equation (also known as Price s equation) is a covariance equation which is a mathematical description of evolution and natural selection. The Price equation was derived by George R. Price, working in London to rederive W.D. Hamilton s… …

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  • 36Degasperis-Procesi equation — In mathematical physics, the Degasperis Procesi equation: displaystyle u t u {xxt} + 2kappa u x + 4u u x = 3 u x u {xx} + u u {xxx}is one of only two exactly solvable equations in the following family of third order, non linear, dispersive… …

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  • 37Matrix difference equation — A matrix difference equation[1][2] is a difference equation in which the value of a vector (or sometimes, a matrix) of variables at one point in time is related to its own value at one or more previous points in time, using matrices. Occasionally …

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  • 38Ordinary 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… …

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  • 39Arrhenius equation — The Arrhenius equation is a simple, but remarkably accurate, formula for the temperature dependence of the rate constant, and therefore, rate of a chemical reaction. [http://www.iupac.org/goldbook/A00446.pdf Arrhenius equation] IUPAC Goldbook… …

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  • 40Homogeneous 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… …

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