Geodesic
About integrals of linear nonautonomous multidimensional differential systems which are integrated in closed form
Problemy fiziki, matematiki i tehniki, no. 2 (2015), pp. 65-71

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Three classes of completely solvable linear nonautonomous multidimensional differential systems (diagonalizable systems, triangular systems, the Lappo–Danilevsky systems) are considered. The regular methods of building first integrals for these differential systems are developed. In addition, some examples are given to illustrate the obtained results.
Keywords: system of total differential equations, first integral. 
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     author = {A. F. Pranevich and P. B. Pauliuchyk},
     title = {About integrals of linear nonautonomous multidimensional differential systems which are integrated in closed form},
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     pages = {65--71},
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     url = {http://geodesic.mathdoc.fr/item/PFMT_2015_2_a10/}
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A. F. Pranevich; P. B. Pauliuchyk. About integrals of linear nonautonomous multidimensional differential systems which are integrated in closed form. Problemy fiziki, matematiki i tehniki, no. 2 (2015), pp. 65-71. http://geodesic.mathdoc.fr/item/PFMT_2015_2_a10/