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 Equation
*This entry contributed by Deon
Poncini*

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## Cite this as:

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