Definition:Homogeneous Linear Second Order ODE with Constant Coefficients

Definition
A homogeneous linear second order ODE with constant coefficient is a second order ODE which can be manipulated into the form:
 * $y'' + p y' + q y = 0$

where $p$ and $q$ are real constants.

Thus it is a homogeneous linear second order ODE:
 * $y'' + \map P x y' + \map Q x y = 0$

where $\map P x$ and $\map Q x$ are constant functions.

Also known as
The word ordering may change, for example:
 * constant coefficient homogeneous linear second order ODE

Abbreviations can be used:
 * constant coefficient homogeneous LSOODE

and so on.

Also presented as
Such an equation can also be presented in the form:


 * $\dfrac {\d^2 y} {\d x^2} + p \dfrac {\d y} {\d x} + q y = 0$

Also see

 * Solution of Constant Coefficient Homogeneous LSOODE