"The unforced cases of Duffing's equation and the equation of the simple pendulum are considered by imposing certain conditions on a linear partial differential equation. Geometrical arguments are presented which lead to solutions of the special cases considered.
Undetermined functions of integration in the solutions limit their use to the approximation of systems with small non-linearity"--Abstract, page ii.
Rivers, Jack L.
Lund, Louis H., 1919-1998
Erkiletian, Dickran Hagop, Jr.
Lee, Ralph E., 1921-2010
M.S. in Physics
Missouri School of Mines and Metallurgy
vi, 23 pages
© 1962 Charles Kirby Murch, All rights reserved.
Thesis - Open Access
Differential equations, Partial
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Link to Catalog Record
Murch, Charles Kirby, "A study of Duffing's equation" (1962). Masters Theses. 2894.