Question

In: Advanced Math

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

Find the unique solution u of the parabolic boundary value problem

Ut −Uxx =e^(−t)*sin(3x), 0<x<π, t>0,

U(0,t) = U(π,t) = 0, t > 0,

U(x, 0) = e^(π), 0 ≤ x ≤ π.

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