[PDE]

[AAJJBurnett (叫我投手)]

 Solve the following PDE

                   2                    2
                  δu     1   δu      δu
 (a)Show that c^2(-----+ -- ------) _ -------=0 has solutions of
                  δr^2   r   δr      δt^2

                   V(r)
   the form u(r,t)=----cos(nct) , n=0,1,2,... Find a differential
                    r

   equation for V(r).

                                     δu  δu
 (b)Solve the initial-value problem ----+2----=0 ,u(0,y)=4e^(-2y).
                                     δt  δy

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◆ From: 140.114.206.124
※ 編輯: AAJJBurnett     來自: 140.114.206.124      (10/24 17:10)
※ 編輯: AAJJBurnett     來自: 140.114.206.124      (10/24 17:10)