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For the wave equation:

Utt-Uxx=0, t>0, xER

u(x,0)=

1, |x|<1

0, |x|>1

sketch the solution u as a function of x at t= 1/2, 1, 2, and 3

I am able to use d'Alemberts and solve for u however the boundaries and the odd/even reflections are throwing me off and I don't know how to do this. Any help would be great thank you.

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# PDE Wave equation with phi(x) as initial boundaries

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