Characteristic equation (calculus)

In mathematics, the characteristic equation (or auxiliary equation) is an algebraic equation of degree $n \,$ on which depends the solutions of a given $n\,$ -order differential equation. The characteristic equation can only be formed when the differential equation is linear, homogeneous, and has constant coefficients. Such a differential equation, with $y \,$ as the dependent variable and $a_{n}, a_{n-1}, \ldots , a_{1}, a_{0}$ as constants,

单词	Auxiliary equation
释义	Auxiliary equation 英语百科 Characteristic equation (calculus) In mathematics, the characteristic equation (or auxiliary equation) is an algebraic equation of degree $n \,$ on which depends the solutions of a given $n\,$ -order differential equation. The characteristic equation can only be formed when the differential equation is linear, homogeneous, and has constant coefficients. Such a differential equation, with $y \,$ as the dependent variable and $a_{n}, a_{n-1}, \ldots , a_{1}, a_{0}$ as constants,
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Auxiliary equation

Characteristic equation (calculus)