Geodesic
The matrix-algebraic form of a~solution to the system of linear ordinary differential equations with constant coefficients
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 3, pp. 3-12

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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. 
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     author = {A. A. Baloev},
     title = {The matrix-algebraic form of a~solution to the system of linear ordinary differential equations with constant coefficients},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_3_a0/}
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A. A. Baloev. The matrix-algebraic form of a~solution to the system of linear ordinary differential equations with constant coefficients. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 3, pp. 3-12. http://geodesic.mathdoc.fr/item/SJIM_2014_17_3_a0/