IJPAM: Volume 93, No. 6 (2014)
EQUATIONS WITH DIRECT INDEX NOTATION
Departamento de Ciências Exatas e Naturais
Universidade Estadual do Sudoeste da Bahia
Itapetinga - BA, BRAZIL
Abstract. Bateman's equations describe a system of radioactive decay of different products in chain. We provide an explicit proof of the general solution to Bateman's equations by direct attack. By using index notation of ordinary sums and products the system of differential equations can be shown to be easily solved. We compare our method with previous more elaborated ones published in the literature.
Received: April 23, 2014
AMS Subject Classification: 34A05, 81V35
Key Words and Phrases: differential equations, ode, nuclear decay, index notation
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DOI: 10.12732/ijpam.v93i6.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 879 - 883
This work is licensed under the Creative Commons Attribution International License (CC BY).