AN IMPORTANT CONTRIBUTION FROM EULLER: NUMERICAL METHODS FOR SOLVING FIRST-ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS
DOI:
https://doi.org/10.56238/arev7n9-129Keywords:
Differential Equations, Numerical Analysis, Compound InterestAbstract
In this paper, we present a brief study of differential equations. We will do a retrospective, highlighting the importance of the contributions of Euller, showing two of its solution methods that use numerical analysis and whose goal is to facilitate the calculations and determine the solutions of the equations, independent of the functions that constitute. Show the deductions of the formulas and geometric idea. Finally, we apply the differential equations involved in calculating compound interest. It is also important to emphasize that this work adopts a qualitative approach, is explanatory in nature, and is the result of bibliographic research.
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References
DAVIS, Philip J. HERSH, Reuben. A Experiência Matemática. Rio de Janeiro: Editora Francisco Alves, 1985.
EVES, Howard. Introdução à História da Matemática. Campinas, SP: Editora da UNICAMP, 2004.
BOYCE, Willian E. DIPRIMA, Richard C. Equações Diferenciais Elementares e Problemas de Valores de Contorno; tradução de Valéria de Magalhães Iorio. Rio de Janeiro: LTC, 2006.
IEZZI, Gelson. Carlos Murakami, Nilson José Machado. Fundamentos de Matemática Elementar, 8: limites, derivadas, noções de integral. São Paulo: Atual, 2005.
SPERÂNDIO, Décio. Cálculo Numérico: características matemáticas e computacionais dos métodos numéricos. São Paulo: Pearson Prentice Hall, 2003.
CAMPOS, Filho, Frederico Ferreira. Algoritmos Numéricos. Rio de Janeiro: LTC, 2007.
