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Characteristic equation (calculus)
Algebraic equation on which the solution of a differential equation depends
Characteristic equation (calculus)
In mathematics, the characteristic equation (or auxiliary equation) is an algebraic equation of degree n upon which depends the solution of a given nth-order differential equation or difference equation. The characteristic equation can only be formed when the differential equation is linear and homogeneous, and has constant coefficients. Such a differential equation, with y as the dependent variable, superscript (n) denoting nth-derivative, and an, an − 1, ..., a1, a0 as constants, a n y ( n ) + a n − 1 y ( n − 1 ) + ⋯ + a 1...
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