Universal Journal of Applied Science(CEASE PUBLICATION) Vol. 2(1), pp. 11 - 18
DOI: 10.13189/ujas.2014.020102
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Application of Maple on the Differential Problem

Chii-Huei Yu ^*
Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, 73746, Taiwan

ABSTRACT

This paper uses the mathematical software Maple for the auxiliary tool to study the differential problem of two types of functions. We can obtain the infinite series forms of any order derivatives of these two types of functions by using Leibniz differential rule, differentiation term by term, and integration term by term. And hence greatly reduce the difficulty of calculating the higher order derivative values of these functions. On the other hand, we propose two examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying these solutions by using Maple. This type of research method not only allows the discovery of calculation errors, but also helps modify the original directions of thinking from manual and Maple calculations. For this reason, Maple provides insights and guidance regarding problem-solving methods.

KEYWORDS
Derivatives, Infinite Series Forms, Leibniz Differential Rule, Differentiation Term By Term, Integration Term By Term, Maple

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Chii-Huei Yu , "Application of Maple on the Differential Problem," Universal Journal of Applied Science(CEASE PUBLICATION), Vol. 2, No. 1, pp. 11 - 18, 2014. DOI: 10.13189/ujas.2014.020102.

(b). APA Format:
Chii-Huei Yu (2014). Application of Maple on the Differential Problem. Universal Journal of Applied Science(CEASE PUBLICATION), 2(1), 11 - 18. DOI: 10.13189/ujas.2014.020102.