II. The problem: A pollution problem is expressed as an initial value problem (IVP) of a diffusion-reaction equation as

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Ii The Problem A Pollution Problem Is Expressed As An Initial Value Problem Ivp Of A Diffusion Reaction Equation As 1 (17.41 KiB) Viewed 22 times

II. The problem: A pollution problem is expressed as an initial value problem (IVP) of a diffusion-reaction equation as follows: ac = d 2² atz-kc dt (=sin(x), 1x1 <1; c= 0, 1x1 >1 where t is time, x is space coordinate. a (>0, diffusion coefficient), k (>0, reaction coefficient) are constants. 1) Use an analytical method to solve it (show details, step by step, using the separation of variable method). 2) Plot your solution in 1) at different a, k to show the effect of a, k on the solution.