Use a cosine Fourier expansion, as u(x,1) = u,(t)+ 4,(1) cosnx, to solve du ô?u -= e' cos3x in (0,1)× (0,+0), ôt ôx? ди (0,t)= ди -(1,t)= 0,t> 0, (1) |u (х,0) %3 1— х,0

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