[工數] PDE-使用拉式轉換解波動方程
※ [本文轉錄自 FCU_Talk 看板]
※d=偏微分，pi=拍(就是那個拍啦...)
二、Consider the following wave equation (15%*4=60%)
(d^2)u/d(t^2) = 4‧(d^2)u/d(x^2)
3、Solve the equation by the Laplace transform with respect to t with
initial conditions : u(x,0) = 0 , ut(x,0) = 0
boundary conditions : u(0,t)=(e^-2t)sin2t , and u(x,t) is bounded as
x→∞
請問這一題
當我解出U(X,S)時會有C1e^??+C2e^?? <??裡面東西不太會表達 但應該不影響>
那帶入BC解出來變成只有一個C
最後再帶回U(X,S)時 要怎樣弄呢?
※ 編輯: lovealways 來自: 218.169.111.30 (06/20 20:16)
推
06/21 15:55, , 1F
06/21 15:55, 1F
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06/21 23:05, , 2F
06/21 23:05, 2F