Solve the boundary-value problem a2u au k- hu = - OO ax2 at' ' u(O, t) = 0, u(7T, t) =

Chapter 13, Problem 6

(choose chapter or problem)

Solve the boundary-value problem a2u au k- hu = - OO ax2 at' ' u(O, t) = 0, u(7T, t) = u0, t > 0 u(x, 0) = 0, 0 < x < 7T. The PDE is a form of the heat equation when heat is lost by radiation from the lateral surface of a thin rod into a medium at temperature zero.

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