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Solutions to Exercises


                                                             2
                                             P  ∞        −2n t
               Exercise 233. u(x, t) =          n=1  B e       sin nx, where
                                                       n
                                                2  Z  π                    12(−1)   n
                                         B =           f(x) sin nxdx =                .
                                           n
                                                π   0                          n 3




















































































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