Definition:Linear Second Order Ordinary Differential Equation

Definition
A linear second order ordinary differential equation is a differential equation which is in (or can be manipulated into) the form:
 * $\dfrac {\d^2 y} {\d x^2} + \map P x \dfrac {\d y} {\d x} + \map Q x y = \map R x$

where, as is indicated by the notation, $\map P x$, $\map Q x$ and $\map R x$ are functions of $x$ alone (or constants).

Also presented as
A linear second order ordinary differential equation can also be presented as:
 * $\dfrac {\d^2 y} {\d x^2} = \map P x \dfrac {\d y} {\d x} + \map Q x y + \map R x$

Also known as
The order of adjectives can be varied, for example: second order linear ordinary differential equation.

Also see

 * Definition:Linear Second Order ODE with Constant Coefficients
 * Definition:Homogeneous Linear Second Order ODE