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PHYSICS 312
Problem set 4:
Problem 1:
Give a physical interpretation for this problem and thus explain why should increase steadily as increases.
(Assume that is a positive constant).
Problem 2:
Show that
satisfies the heat equations and boundary conditions in the problem above. Find defined by
Problem 3:
Show that the four functions
are solutions to the heat equation. (These are sometimes called heat polynomials.) Find a linear combination of them
that satisfies the boundary conditions
.
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Birger Bergersen
2003-01-30