Discover Linear Algebra

Section 27.2 Terminology and notation

system of differential equations

a collection of (usually linear) differential equations in the unknown functions $y_1(t), y_2(t), \dotsc, y_n(t)$

coupled system of differential equations

a system of differential equations where each derivative $y_j'(t)$ is related to a combination of the unknown functions $y_1(t), y_2(t), \dotsc, y_n(t)$