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SYMBOLIC-NUMERIC APPROACH FOR SOLVING LINEAR DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER

Irina N. Belyaeva, Nikolay A. Chekanov, Larisa V. Migal, Vladimir G. Bondarev

Abstract


This paper presents a symbolic-numeric approach for solving linear differential equations of the fourth order in the form of generalized power series. The working program allows to find solutions to differential equations of the fourth order in the form of power series, generally, of any order, but is limited by capabilities of a given computer. Some examples of solving differential equations of the fourth order are presented, which show the efficiency of the developed program. The results are consistent with the available literature data.

Keywords


differential equations of the fourth order; generalized power series; singular regular points

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References


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DOI: http://dx.doi.org/10.6084/ijact.v8i6.947

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