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Find the unique solution u of the parabolic boundary value problem Ut ?Uxx =e^(?t)*sin(3x), 0<x<?, t>0, U(0,t) =...

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Advance Math

Find the unique solution u of the parabolic boundary valueproblem

Ut ?Uxx =e^(?t)*sin(3x), 00,

U(0,t) = U(?,t) = 0, t > 0,

U(x, 0) = e^(?), 0 ? x ? ?.

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