Definition:Reduced Equation of Linear ODE with Constant Coefficients/First Order
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Definition
Consider the linear first order ODE with constant coefficients:
- $(1): \quad \dfrac {\d y} {\d x} + a y = \map Q x$
The equation:
- $\dfrac {\d y} {\d x} + a y = 0$
is the reduced equation of $(1)$.
Sources
- 1958: G.E.H. Reuter: Elementary Differential Equations & Operators ... (previous) ... (next): Chapter $1$: Linear Differential Equations with Constant Coefficients: $\S 1$. The first order equation: $\S 1.3$ The form of the general solution