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...

Extracted 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).