Please see an attachment for details Consider u(x, I) that solves the heat or wave equation and is periodic in x with period 2L. This could describe athin circle of wire with length 2L, for instance. Use the spatial coordinate x E [-L, L]. Since x = L and x = L arereally the same point, all values of u are the same there, as are any well-defined derivatives of 1.4. Show more Show more Math Applied MathematicsMATH 346
