auxiliary equation

auxiliary equation

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  • auxiliary equation — noun : an equation obtained from the standard form of a linear differential equation by replacing the right member by zero * * * Math. See characteristic equation (def. 1b) …   Useful english dictionary

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  • Characteristic equation (calculus) — In mathematics, the characteristic equation (or auxiliary equation[1]) is an algebraic equation of degree on which depends the solutions of a given th order differential equation.[2] The characteristic equation can only be formed when the… …   Wikipedia

  • characteristic equation — noun : an equation in which the characteristic polynomial of a matrix is set equal to 0 * * * 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and… …   Useful english dictionary

  • characteristic equation — 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and equated to zero, which is derived from a given linear differential equation and in which the… …   Universalium

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