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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 \(y_1(t), y_2(t), \dotsc, y_n(t)\)