Abstract
A system of homogeneous linear differential equations describes the time evolution of many dynamic systems in physics. chemistry, and biology (e.g. radioactive decay, chemical kinetics of monomolecular reactions, etc.). A graph-theory approach for the direct solution of this system represented by an acyclic reaction graph is elaborated. Applying this simple method one can construct the time-dependent solution immediately from the corresponding reaction graph.
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I would like to express my thanks to Drs. Z. Slanina and P. Hadrava for many helpful discussions and critical comments concerning the subject of this communication. I am greatly indebted to Prof. V. Kvasnička for all the support and understanding he has given to my work in this field.
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Kvasnička, M. Graphical solution of special kinetic differential equations. Czech J Phys 35, 1061–1066 (1985). https://doi.org/10.1007/BF01596424
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DOI: https://doi.org/10.1007/BF01596424