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...
Related questions
Question

Transcribed Image Text: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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images

Recommended textbooks for you

Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning

Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning

Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning

Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning

Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning

Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage