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Question: Why the pdsolve give me zero solution

Question:Why the pdsolve give me zero solution

Snow 10
pde pdsolve differential-equations dirichlet
November 04 2020
0

Hello, I have a sipmle wave PDE with dirichlet BC,I am trying to plot the solution , so I us the following code try to solve it at first,

pde := diff(u(x, t), t $ 2) - diff(u(x, t), x $ 2) = 0:

h := piecewise(2 < x and x <= 3, 6 - 2*x, 0):

ic := u(x, 0) = h, D[2](u)(x, 0) = 0:

bc := u(0, t) = 0:

solution := pdsolve([pde, ic, bc])

The problem is the following code give me a zero solution, but it should't be according to the d'Alembert formula.

I am not sure where is problem in my code, could someone help me on this? thanks.

 
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