ar' (a) Solve the diffusion equation with convection: au a²u ди =k +c <<< at ar2 u(x,0) = f(x) Hint: Use the convolution
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ar' (a) Solve the diffusion equation with convection: au a²u ди =k +c <<< at ar2 u(x,0) = f(x) Hint: Use the convolution theorem and the shift theorem (see problem 3).] (b) Consider the initial condition to be 8(2). Sketch the corresponding u(x, t) for various values of t > 0. Comment on the significance of the convection term ди. can