[理工] [工數]-pde
Find all the solutions in the form of
u(x,t)=X(t)Y(t)
for the following problem:
2
du(x,t) d u(x,t)
------- = ----------, 0<x<1 , t>0
dt dx^2
{
du(1,t)
u(0,t) = ----------- = 0 , t≧0
dx
請問這題沒給邊界條件
是不是要把所有λ>0 , λ< 0 , λ = 0
個別的情況全部列出來..
然後解得三個不同的 X=c1...+c2...和 Y= k1...+k2...
再把U=XT全部列出來呀...
謝謝
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