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method of undetermined coefficients

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  • Method of undetermined coefficients — In mathematics, the method of undetermined coefficients, also known as the lucky guess method, is an approach to finding a particular solution to certain inhomogeneous ordinary differential equations and recurrence relations. It is closely… …   Wikipedia

  • Method of variation of parameters — In mathematics, variation of parameters also known as variation of constants, is a general method to solve inhomogeneous linear ordinary differential equations. It was developed by the Italian French mathematician Joseph Louis Lagrange.For first… …   Wikipedia

  • Annihilator method — In mathematics, the annihilator method is a procedure used to find a particular solution to certain types of inhomogeneous ordinary differential equations. It is equivalent to the method of undetermined coefficients, and the two names are… …   Wikipedia

  • Partial fraction — In algebra, the partial fraction decomposition or partial fraction expansion is a procedure used to reduce the degree of either the numerator or the denominator of a rational function (also known as a rational algebraic fraction). In symbols, one …   Wikipedia

  • Recurrence relation — Difference equation redirects here. It is not to be confused with differential equation. In mathematics, a recurrence relation is an equation that recursively defines a sequence, once one or more initial terms are given: each further term of the… …   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 — 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

  • List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   Wikipedia

  • Dynamic programming — For the programming paradigm, see Dynamic programming language. In mathematics and computer science, dynamic programming is a method for solving complex problems by breaking them down into simpler subproblems. It is applicable to problems… …   Wikipedia

  • Bellman equation — A Bellman equation (also known as a dynamic programming equation), named after its discoverer, Richard Bellman, is a necessary condition for optimality associated with the mathematical optimization method known as dynamic programming. It writes… …   Wikipedia

  • List of solution strategies for differential equations — Exact= * Method of undetermined coefficients * Integrating factor:For y +a(x)y = b(x) let M(x)=exp{int a(x),dx} then::y(x) = frac{int b(x) M(x), dx + C}{M(x)}., * Method of variation of parameters * Separable differential equationNumerical… …   Wikipedia

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