Application of operator factorization in linear differential equation
Date of Publication
2002
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This paper presents the use of operator factorization in solving linear differential equations. First, we consider an nth order linear differential equation with constant coefficients. The general solution is obtained using the method of operator factorization regardless of the nature of the roots of the characteristic polynomial. Secondly, the same method is applied in solving the Euler equations. By a change of variable the equation is reduced to a linear differential equation with constant coefficients. Finally, the method is modified for the case of second order linear differential equations with variable coefficients. The paper shows how a single solution of the homogeneous equation can be used to find the general solution of the non-homogeneous equation using operator factorization.
Abstract Format
html
Language
English
Format
Accession Number
TU11114
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
62 leaves
Recommended Citation
Sy, J. Q., & Lee, J. M. (2002). Application of operator factorization in linear differential equation. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17243
