Le e-x² dx = √√π, (23.5) | u(x, t) | ≤ L 4πt M e-(x-y)²/4t d = √ √ e-(2-1)/ 2√/1/2 dy. 24.4 Problem. Substitute s = (x − y)/2√t in the integral on the right and use (23.5) - to derive a bound for u that is independent of t.
Le e-x² dx = √√π, (23.5) | u(x, t) | ≤ L 4πt M e-(x-y)²/4t d = √ √ e-(2-1)/ 2√/1/2 dy. 24.4 Problem. Substitute s = (x − y)/2√t in the integral on the right and use (23.5) - to derive a bound for u that is independent of t.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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