APLIKASI NILAI EIGEN PADA PEMECAHAN PERSAMAAN DIFERENSIAL

Siagian, Henok (2004) APLIKASI NILAI EIGEN PADA PEMECAHAN PERSAMAAN DIFERENSIAL. Jurnal Sains Indonesia, 28 (04). pp. 156-160. ISSN 0853-3792

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Abstract

A simple differential equation system can be written in a matrix notation of Y = AY, where A is a matrix coefficient that can be diagonalized. Eigen values of A is used to find a P matrix that diagonalize A. By substitution of Y = PU and Y' = PU' to find "a new diagonalize system" of U' = DU, where D = P1 AP. Solution of U'- DU is then used to determine Y from Y = PU equation. These results has been use to solve linear differential equation and its application.

Item Type: Article
Keywords: Nilai eigen; Persamaan diferensial; Matriks; Diferensial linear
Subjects: Q Science > QC Physics
Q Science > QC Physics > QC81 Weights and measures
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Pendidikan Fisika
Depositing User: Mrs Harly Christy Siagian
Date Deposited: 09 Apr 2016 05:41
URI: http://digilib.unimed.ac.id/id/eprint/386

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