Tjang Daniel, Chandra (2014) SOLVING A SYSTEM OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS BY USING DIAGONALIZATION MATRIX. Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2014. (Submitted)

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Abstract
Consider a system of fourth order ordinary differential equation x(4) = Ax, where A is a square matrix. To find the solution of this system, the matrix A will be diagonalized by using J =P1AP, where P is a matrix with vectoreigens of A as its columns. Therefore, the original system can be transformed into a new system y(4) = Jy with y = P1x. Solving this new system will yield the soluton of the original system, that is, x = Py. Some problems with different types of eigenvalues of A will be given. Especially, Jordan form is used to diagonalize A, when all eigenvalues of A are equal.
Item Type:  Article 

Uncontrolled Keywords:  fourth order ordinary differential equation, diagonalization matrix 
Subjects:  Prosiding > ICRIEMS 2014 > MATHEMATICS & MATHEMATICS EDUCATION 
Divisions:  Fakultas Matematika dan Ilmu Pengetahuan Alam > Jurusan Pendidikan Matematika > Matematika 
Depositing User:  Eprints 
Date Deposited:  07 Nov 2014 04:28 
Last Modified:  07 Nov 2014 04:28 
URI:  http://eprints.uny.ac.id/id/eprint/11510 
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