Some mass of material is released at the point z = 0. At t> 0 the material density evolves according to the formula P(-17). 1. Sketch p and against z (direct axis a to the right) at some moment t> 0 (no accuracy is required, just show general trends). p=t-1/2 e 2 exp

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Some mass of material is released at the point z = 0. At t> 0 the material
density evolves according to the formula
P(-17).
1. Sketch p and against z (direct axis a to the right) at some moment
t> 0 (no accuracy is required, just show general trends).
p=t-1/2 e
2 exp
Transcribed Image Text:Some mass of material is released at the point z = 0. At t> 0 the material density evolves according to the formula P(-17). 1. Sketch p and against z (direct axis a to the right) at some moment t> 0 (no accuracy is required, just show general trends). p=t-1/2 e 2 exp
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3. Find the flux of material as a function of r and t and show that at x = 1
the material is tranferred to the right and at x = -1 the material is
tranferred to the left.
Transcribed Image Text:3. Find the flux of material as a function of r and t and show that at x = 1 the material is tranferred to the right and at x = -1 the material is tranferred to the left.
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Follow-up Question
2. Verify that p satisfies the diffusion equation
др
at
k
да
Transcribed Image Text:2. Verify that p satisfies the diffusion equation др at k да
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