Question: Suppose we have a 2m long rod whose temperature is given by the function u(x, t) for x on the beam and time t. The

Suppose we have a 2m long rod whose temperature is given by the function u(x, t) for x on the beam and time t.
The left hand end of the rod is heated so that it is 100◦, and the heat on the rod as a whole is proportional to e^(−x).
What is the initial condition u(x, 0) for this rod?

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