7) The ODE for O looks very simple. We have boundary conditions that e must be 27 periodic in order to give a physically/geometrically valid solution. Show that this leads to O = A cos(me) + B sin(m0), m = 1, 2, 3. ... Note that even m = 0 makes sense (in which case, O = A a constant).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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7) The ODE for O looks very simple. We have boundary conditions that O must be 27 periodic in order
to give a physically/geometrically valid solution. Show that this leads to O = A cos(me) + B sin(m0),
m = 1, 2, 3.... Note that even m = 0 makes sense (in which case, O = A a constant).
Transcribed Image Text:7) The ODE for O looks very simple. We have boundary conditions that O must be 27 periodic in order to give a physically/geometrically valid solution. Show that this leads to O = A cos(me) + B sin(m0), m = 1, 2, 3.... Note that even m = 0 makes sense (in which case, O = A a constant).
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