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

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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 $(1)$.


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