ANALISIS PENYELESAIAN PERSAMAAN DIFERENSIALORDE-2 DENGAN MENGGUNAKAN METODE PD HOMOGEN-TAK HOMOGEN DAN TEKNIK OPERATOR-D

Maja, Ibnu (2017) ANALISIS PENYELESAIAN PERSAMAAN DIFERENSIALORDE-2 DENGAN MENGGUNAKAN METODE PD HOMOGEN-TAK HOMOGEN DAN TEKNIK OPERATOR-D. Jurnal Ilmiah, IX (3). pp. 21-26. ISSN 1979-0759

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Abstract

Analysis of order completion PD-2 discusses three cases resolved by the two methods. namely differential equations with homogeneous-inhomogeneous and operator-D technique. Step completion PD second order with PD linear homogeneous-inhomogeneous is: define a common solution PD Homogeneous ay" + by'+ cy = g(x) namely, ar2 + br + c = 0 the common solution in accordance with the roots of the characteristic equation, then subtitusikan yp, y'p, y"p in PD is not homogeneous in order to obtain a special solution the final result of common solutions PD-order 2 : y=yh + yp the next step in operator technique is transform into a differential equation system operator technique, namely F(D) yp=Q , to eliminate the equation to determine the value yp that is: yp = 1/ F(D)Q , determine the complementary function, specifically by using the integral determines the properties of the operator-D techniques in order to obtain the general solution is: y = Fungsi komplementer + Integral khusus.

Item Type: Article
Uncontrolled Keywords: Homogeneous Linear PD, PD Homogeneous Linear Tak, operator technique, complementary functions, special Integral
Subjects: Q Science > QA Mathematics
Divisions: General > Journal
Depositing User: Mrs Trisni Handayani
Date Deposited: 27 Mar 2018 09:29
Last Modified: 27 Mar 2018 09:29
URI: http://eprints.polsri.ac.id/id/eprint/4407

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