Date of Award
Master of Science
Master of Mathematics
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.
A. D. Stewart
Prairie View Agricultural and Mechanical College
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Date of Digitization
John B Coleman Library
City of Publication
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