This article is cited in 3 papers

The matrix-algebraic form of a solution to the system of linear ordinary differential equations with constant coefficients

A. A. Baloev

Kazan State Technical University, 10 Karl Marx st., 420111 Kazan

Abstract: We propose a form for representing the general solution to a system of linear differential equations with constant coefficients which covers all possible versions of the general solutions corresponding to different multiplicities of the roots of the characteristic equation. The properties and some particular cases of this solution are studied.

Keywords: ordinary differential equation, multiple root.

UDC: 517.91

Received: 14.04.2014

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