Thread: One-dimensional wave equation

Hi everyone. I could really use a hand with this question:

Solve the one-dimensional wave equation:
(∂²u/∂t²) = c² (∂²u/∂x²)

Where c is a non-zero constant, subject to the boundary conditions:
u(0,t) = u(l,t) = 0, _____ t ≥ 0

And the initial conditions:
u(x,0) =
x/5_____________ 0 ≤ x ≤ 1/2
(1-x)/5__________1/2 ≤ x ≤ 1


(∂u/∂t)_t=0 = 0, 0 ≤ x ≤ 1

Thank you to anyone who can help. Sorry if this is in the wrong section.

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