Definition:Auxiliary Equation

From ProofWiki
Jump to navigation Jump to search



$(1): \quad y'' + p y' + q y = 0$

be a constant coefficient homogeneous linear second order ODE.

The auxiliary equation of $(1)$ is the quadratic equation:

$m^2 + p m + q = 0$

Also known as

Some sources refer to the auxiliary equation as the characteristic equation of $(1)$.

Also see

  • Results about auxiliary equations can be found here.