Definition:Reduced Equation of Linear ODE with Constant Coefficients/Second Order

Definition
Consider the linear second order ODE with constant coefficients:
 * $(1): \quad \dfrac {\d^2 y} {\d x^2} + p \dfrac {\d y} {\d x} + q y = \map R x$

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

is the reduced equation of $(1)$.