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Problem 3. Let D be the shell of a sphere of radius r=1. We want to solve the following heat equation on D au=0.1 Au. a) Find the series solution if u(0,0,0)=sin(0). b) Find the solution if u(0,0,6)=sin(o).

Problem 3. Let D be the shell of a sphere of radius r=1. We want to solve the following heat equation on D au=0.1 Au. a) Find the series solution if u(0,0,0)=sin(0). b) Find the solution if u(0,0,6)=sin(o).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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Problem 3. Let D be the shell of a sphere of radius r=1. We want to solve the following heat equation on D du=0.1 Au. a) Find the series solution if u(0,0,0)=sin(0). b) Find the solution if u(0,0,0)=sin(6).
Transcribed Image Text:Problem 3. Let D be the shell of a sphere of radius r=1. We want to solve the following heat equation on D du=0.1 Au. a) Find the series solution if u(0,0,0)=sin(0). b) Find the solution if u(0,0,0)=sin(6).
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