Show the process that the heat kernel function is a solution to the heat equation Heat equation Partial h/ partial t = k partial² h / partial x² k= 1/2

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 31WE
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Show the process that the heat kernel function is a solution to the heat equation Heat equation Partial h/ partial t = k partial² h / partial x² k= 1/2
1
x2
h(x) =
е 2t
V2nt
2πι
Transcribed Image Text:1 x2 h(x) = е 2t V2nt 2πι
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