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Solve the initial boundary value problem du 2k du at = K 3x2 + +H(t)u, 0 0, x + Xo Ox u(0, t) = u(L,

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Solve the initial boundary value problem du 2k du at = K 3x2 + +H(t)u, 0 0, x + Xo Ox u(0, t) = u(L, t) = 0, u(x, 0] = uo(x), where K > 0, Xo > 0 are constants and the function u(t) is a bounded integrable function with support on a finite interval of t-axis. Hint: The transformation w = wexp([* v(E)da/2) is useful to remove the Ou x term

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