Accession Number : AD0437293

Title :   METHOD OF INDETERMINANT COEFFICIENTS IN LINEAR DIFFERENTIAL SYSTEMS AND THE MATRIX EQUATION XB - AX = U,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Dou,A.

Report Date : MAR 1964

Pagination or Media Count : 24

Abstract : The paper considers the linear ordinary differential system with constant coefficients. An explicit solution of the system is stated in finite terms. By means of this solution, a theoretical ground is stated for the application of the method of indeterminate coefficients to the obtaining of a particular solution of the system. A particular case is analyzed. A correspondence is established between the differential systems and the matrix equation XB - AX = U. The general solution of the matrix equation is obtained by means of the results previously proved and of the general theory of the differential systems with constant coefficients. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, LINEAR SYSTEMS), (*MATRICES(MATHEMATICS), POLYNOMIALS), COMPLEX NUMBERS

Distribution Statement : APPROVED FOR PUBLIC RELEASE