ordinary differential equation

  • 71Clairaut's equation — In mathematics, a Clairaut s equation is a differential equation of the form To solve such an equation, we differentiate with respect to x, yielding so Hence, either …

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  • 72Duffing equation — A Poincaré section of the forced Duffing equation suggesting chaotic behaviour The Duffing equation is a non linear second order differential equation used to model certain damped and driven oscillators. The equation is given by …

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  • 73Chebyshev equation — Chebyshev s equation is the second order linear differential equation where p is a real constant. The equation is named after Russian mathematician Pafnuty Chebyshev. The solutions are obtained by power series: where the coefficients obey the… …

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  • 74Convection diffusion equation — The Convection Diffusion equation is a parabolic partial differential equation. It is very important for the description of physical phenomena where particles or energy (or other physical quantities) are transferedinside a physical system due to… …

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  • 75Numerical partial differential equations — is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs). Numerical techniques for solving PDEs include the following: The finite difference method, in which functions are represented by… …

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  • 76Boolean delay equation — As a novel type of semi discrete dynamical systems, Boolean Delay Equations (BDEs) are models with Boolean valued variables that evolve in continuous time. Since at the present time, most phenomena are too complex to be modeled by partial… …

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  • 77Regular singular point — In mathematics, in the theory of ordinary differential equations in the complex plane , the points of are classified into ordinary points, at which the equation s coefficients are analytic functions, and singular points, at which some coefficient …

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  • 78analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …

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  • 79mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …

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  • 80Nonlinear system — Not to be confused with Non linear editing system. This article describes the use of the term nonlinearity in mathematics. For other meanings, see nonlinearity (disambiguation). In mathematics, a nonlinear system is one that does not satisfy the… …

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