Question: 2. Show that the Cauchy problem for the backward diffusion equation, at +um = 0, :L' E R, t> 0, u[:r:,0) = at), :I: E

2. Show that the Cauchy problem for the backward diffusion equation, at +um = 0, :L' E R, t> 0, u[:r:,0) = at), :I: E R, is unstable by considering the solutions 1 , u(1:,t) = 1 and um, t) = 1 + e\"2t sin(n:r;) n for large n and for t > 0

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