METHOD OF INDETERMINANT COEFFICIENTS IN LINEAR DIFFERENTIAL SYSTEMS AND THE MATRIX EQUATION XB - AX = U,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1964
- Accession Number
- AD0437293
Entities
People
- A. Dou
Organizations
- University of Wisconsin–Madison