Use separation of variables to obtain an eigenfunction solution of the form

for the unsteady-diffusion equation

subject to the constant concentration boundary condition c(0, t) = 0 and the reaction– diffusion boundary condition

and the initial condition c(x, 0) = 1.

Transcribed Image Text:

c(x, t) = (Cn sin λnx + dn cos λnx) ext n=0