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Solution of Differential Equations using …

IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728. Volume 5, Issue 3 (Jan. - Feb. 2013), PP 12-17 12 | Page Solution of Differential Equations using Exponential of a Matrix Jervin Zen Lobo 1, Terence Johnson 2 1(Basic Sciences & Humanities Department, Agnel Institute of Technology and Design, Goa University, India) 2(Computer Engineering Department, Agnel Institute of Technology and Design, Goa University, India) Abstract : Our main purpose in this project is to help reader find a clear and glaring relationship between linear algebra and Differential Equations , such that the applications of the former may solve the system of the latter using exponential of a matrix. Applications to linear Differential Equations on account of eigen values and eigenvectors, diagonalization of n-square matrix using computation of an exponential of a matrix using results and ideas from elementary studies form the core study of our project.

Solution of Differential Equations using Exponential of a Matrix www.iosrjournals.org 13 | Page

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