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DUAL FONKSİYONLARI KULLANARAK DİFRERANSİYEL DENKLEMLERİN ÇÖZÜMÜ

Year 2009, Volume: 4 Issue: 4, 99 - 103, 01.05.2009

Abstract

Bu çalışmada herhangi bir diferensiyel denklem göz önüne alınmıştır. Bu denklem dual kısımdaki diferensiyel denklem reel kısımdaki diferensiyel denklemin her teriminin bir üst mertebeden diferensiyel olacak şekilde reel ve dual kısımlara ayrılmıştır. Bu kısımlardaki denklemler ayrı ayrı çözüldüğünde dual kısmın çözümünün, reel kısmın çözümüne bir sabit ilave edilerek bulunduğu görülmüştür. Bu metoddan faydalanarak yüksek mertebeden bir diferensiyel denklemin çözümünün, diferensiyel denklemin her teriminin mertebelerini indirgemek suretiyle kolayca elde edilmiş olacaktır.

THE SOLUTION OF DIFFERENTIAL EQUATIONS USING DUAL FUNCTIONS

Year 2009, Volume: 4 Issue: 4, 99 - 103, 01.05.2009

Abstract

In this paper a differential equation is considered. This equation is separated into dual and real parts such that the dual part of the equation is the higher order differential of each term in the real part. Solving these equations separately, one may observe that the solution of the dual part is obtained by adding a constant to the solution of the real part. Making use of this method, the solution of a higher order differential equation can be attained by reducing each term of it.

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Details

Primary Language Turkish
Journal Section Physics
Authors

Vedat Asıl This is me

Publication Date May 1, 2009
Published in Issue Year 2009 Volume: 4 Issue: 4

Cite

APA Asıl, V. (2009). THE SOLUTION OF DIFFERENTIAL EQUATIONS USING DUAL FUNCTIONS. Physical Sciences, 4(4), 99-103. https://doi.org/10.12739/10.12739
AMA Asıl V. THE SOLUTION OF DIFFERENTIAL EQUATIONS USING DUAL FUNCTIONS. Physical Sciences. May 2009;4(4):99-103. doi:10.12739/10.12739
Chicago Asıl, Vedat. “THE SOLUTION OF DIFFERENTIAL EQUATIONS USING DUAL FUNCTIONS”. Physical Sciences 4, no. 4 (May 2009): 99-103. https://doi.org/10.12739/10.12739.
EndNote Asıl V (May 1, 2009) THE SOLUTION OF DIFFERENTIAL EQUATIONS USING DUAL FUNCTIONS. Physical Sciences 4 4 99–103.
IEEE V. Asıl, “THE SOLUTION OF DIFFERENTIAL EQUATIONS USING DUAL FUNCTIONS”, Physical Sciences, vol. 4, no. 4, pp. 99–103, 2009, doi: 10.12739/10.12739.
ISNAD Asıl, Vedat. “THE SOLUTION OF DIFFERENTIAL EQUATIONS USING DUAL FUNCTIONS”. Physical Sciences 4/4 (May 2009), 99-103. https://doi.org/10.12739/10.12739.
JAMA Asıl V. THE SOLUTION OF DIFFERENTIAL EQUATIONS USING DUAL FUNCTIONS. Physical Sciences. 2009;4:99–103.
MLA Asıl, Vedat. “THE SOLUTION OF DIFFERENTIAL EQUATIONS USING DUAL FUNCTIONS”. Physical Sciences, vol. 4, no. 4, 2009, pp. 99-103, doi:10.12739/10.12739.
Vancouver Asıl V. THE SOLUTION OF DIFFERENTIAL EQUATIONS USING DUAL FUNCTIONS. Physical Sciences. 2009;4(4):99-103.