(See attached file for full problem description)
5.7 a) Consider one-dimensional unsteady diffusion in an absorbing medium. The causal fundamental solution E with pole at x = 0, t=0 satisfies
Reduce the problem to ordinary diffusion by the transformation E =
b) What would be the significance of the problem in which q^2 E is replaced by -q^2E? What about the fundamental solution?
This solution is comprised of a detailed explanation to reduce the problem to ordinary diffusion by the transformation.