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100. The heat equation An important partial differential equation that describes the distribution of heat in a region at time t can be represented by the one-dimensional heat equation of_ a²f ax²" at Show that u(x, t) = sin (æx) • e Bi satisfies the heat equation for constants a and ß. What is the relationship between a and ß for this function to be a solution?

100. The heat equation An important partial differential equation that describes the distribution of heat in a region at time t can be represented by the one-dimensional heat equation of_ a²f ax²" at Show that u(x, t) = sin (æx) • e Bi satisfies the heat equation for constants a and ß. What is the relationship between a and ß for this function to be a solution?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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100. The heat equation An important partial differential equation that describes the distribution of heat in a region at time t can be represented by the one-dimensional heat equation of_ a²f ax²" at Show that u(x, t) = sin (æx) • e Bi satisfies the heat equation for constants a and ß. What is the relationship between a and ß for this function to be a solution?
Transcribed Image Text:100. The heat equation An important partial differential equation that describes the distribution of heat in a region at time t can be represented by the one-dimensional heat equation of_ a²f ax²" at Show that u(x, t) = sin (æx) • e Bi satisfies the heat equation for constants a and ß. What is the relationship between a and ß for this function to be a solution?
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