Question: Initial condition is u(x,0) = up = f(x) , t> 0 Let D + D which is the 1-D diffusion equation. Contaminant concentration u(x,t) in

Initial condition is u(x,0) = up = f(x) , t> 0 Let D + D" which is the 1-D diffusion equation. Contaminant concentration u(x,t) in the water and the amount S sorbed onto the soil, S = Ku(x,t) or S = au(x,t) 1+Bu(x,t) Then (*) becomes, , 00 Find u(x,t) using the method of separation of varibles Graph it . Fort = 0, t = 1, t = 10, and t = 20 Please use graph it on computer. (not by hand) Thank you

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