A homogeneous linear ordinary differential equation with constant coefficients is an ordinary differential equation in which coefficients are constants (i.e., not functions), all terms are linear, and the entire differential equation is equal to zero (i.e., it is homogeneous).
Homogeneous Linear Ordinary Differential Equation with Constant Coefficients
See also
First-Order Ordinary Differential Equation, Homogeneous Ordinary Differential Equation, Linear Ordinary Differential Equation, Second-Order Ordinary Differential EquationThis entry contributed by Deon Poncini
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Poncini, Deon. "Homogeneous Linear Ordinary Differential Equation with Constant Coefficients." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/HomogeneousLinearOrdinaryDifferentialEquationwithConstantCoefficients.html