My question regards cooling of an object using 1D-heat transfer with fixed surface temperatures. First I need to find the solution to this PDE:
Based on the conditions, I worked out that the temperature of the interface of heat transfer is Ts and the object undergoing heat transfer starts out at To. The hyperlink below illustrates as far as I could work out the solution to the PDE but I can't seem to figure out how to proceed to arrive at an equation where I can insert values:
Later on in the question I am supposed to determine the temperature of the object after an hour and I just don't understand how to arrive at that equation.

