Let P(x, t) solve the diffusion equation: = D. For each set of boundary conditions and initial conditions below, sketch
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Let P(x, t) solve the diffusion equation: = D. For each set of boundary conditions and initial conditions below, sketch
Let P(x, t) solve the diffusion equation: = D. For each set of boundary conditions and initial conditions below, sketch P(r, t) For t = 0, t very close to zero, t small, t medium, t infinite. P(0,t) = 0, P(2, t) = 0, P(1,0) = 1. I (b) ap ӘР (0,t) = 0, (2, t) = 0, ər P(1,0) = 1. Homework 10. Here on is very important and must be done (c) (d) Page 2 P(0,t)=0, P(3,t) = 0, (0 0<r<1 P(1,0)=6 1≤x≤2. 0 2<1≤3 ap (0,t) = 0,(3,t) = 0, ər 0 ≤ x < 1 P(t,0)= 6 1≤x≤2. 0 2<x≤3
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