Show that a solution of the boundary-value problem ifu au k-+ r= - x>O, t>O ax2 at' u(O

Chapter 15, Problem 20

(choose chapter or problem)

Show that a solution of the boundary-value problem ifu au k-+ r= - x>O, t>O ax2 at' u(O, t) = 0, lim au -= O t> O -+00 ax u(x, 0) = 0, > x 0, where r is a constant, is given by u(x, t) = rt - r [errc(2) d-r.

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