Mathematical Methods in the Physical Sciences · Problem 3.4

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · heat-flow-stacked-slabs

Problem

t = 0

, two flat slabs each 5 cm thick, one at

0^\circ

and one at

20^\circ

, are stacked together, and then the surfaces are kept at

0^\circ

. Find the temperature as a function of

x

and

t

for

t > 0