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auxiliary equation

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noun Mathematics.
  1. characteristic equation(def 1b).
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characteristic equation

noun
  1. Mathematics.
    1. the characteristic polynomial of a given matrix, equated to zero.
    2. 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 coefficient and power of the variable in each term correspond to the coefficient and order of a derivative in the original equation.
  2. Physics. equation of state.
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Origin of characteristic equation

First recorded in 1920–25
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018