Write the solution of the following Cauchy problem for the wae equation on the real line...
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Write the solution of the following Cauchy problem for the wae equation on the real line as a sum of a forward wane and backwara Wave and s Ketch its graph at t= 0,0.5 & 1.5 Utt = Uxx - oくXくo %3D t>o u(X, o) = p(x) = S2(1-1x1) -I« x <I %3D e lse where Ut(X,0), - ∞<x < 00 Write the solution of the following Cauchy problem for the wae equation on the real line as a sum of a forward wane and backwara Wave and s Ketch its graph at t= 0,0.5 & 1.5 Utt = Uxx - oくXくo %3D t>o u(X, o) = p(x) = S2(1-1x1) -I« x <I %3D e lse where Ut(X,0), - ∞<x < 00
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