Date of Award
8-1965
Document Type
Thesis
Degree Name
Master of Science
Degree Discipline
Mathematics
Abstract
This thesis deals with the transformation and solution of the generalized Euler Differential Equation of Order - n. This problem was suggested and supervised by Dr. A. D. Stewart, Head of the Department of Mathematics, Prairie View A & M College, Prairie View, Texas. The writer is greatly indebted to Dr. Stewart, who is an authority on differential equations, for his directions and suggestions during the preparation of this thesis.
The problem is first to take an nth-order differential equation with linear coefficients and transform it into an nth-order differential equation with constant coefficients. Secondly, to find a solution to the differential equation with constant coefficients and finally to transform it back to the solution of the original equation.
In Chapter two, we shall show solutions to two Euler's differential equations of order-two. The first differential equation will have a linear coefficient of one term and the second differential equation will have a linear expression consisting of two terms as a coefficient. Associated with these two differential equations which are non-homogeneous in nature will be two homogeneous differential equations and their solutions.
Chapter three and four will deal with solutions of an nth-order Euler Differential Equation having the same properties as the second-order differential equation. Associated with these two nth-order Euler Differential Equations will be corresponding solution of homogeneous type nth order differential equations.
Committee Chair/Advisor
A. D. Stewart
Publisher
Prairie View Agricultural and Mechanical College
Rights
© 2021 Prairie View A & M University
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Date of Digitization
11/19/2021
Contributing Institution
John B Coleman Library
City of Publication
Prairie View
MIME Type
Application/PDF
Recommended Citation
Hawkins, F. T. (1965). On The Transformation Of The Generalized Euler's Differential Equation Of Order-N. Retrieved from https://digitalcommons.pvamu.edu/pvamu-theses/743