Question

1. Consider the following inhomogeneous wave equation on (0,7) : utt - 4uxx = (1 - x) cost Uz(0,t) = cost-1, uz(7,t) = cost u
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Answer #1

NUNLPN let-quan = (1-x) cost ocrca, to Ux(0,t) - cost-I 4xca,t) - cest , eso 2160,0) = 22 osaar le (7,0) = cos3x our ex we loa Riff we with respect to t and x and substitute into Equation we get VE - 9 x x = { [(t) HANT HI] carne a cost + 1 - 2 720and To(t) = To los + 1 To (s) ds = f ( sms + 2 ds = [-cess + et = (1-cost) + 2th Summing up we get was Vuxit) = (1-cost) +21²

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