Consider the piecewise continuous function f(x) = {1; 20 1, 0. u(x, t) = L x 20 √πt πι (a) Write u(x, t) in terms of the error function erf(x). (c) Evaluate lim u(x, t). +0+1 (d) Evaluate lim u(x, t). and let e 40tf(y) dy.
Consider the piecewise continuous function f(x) = {1; 20 1, 0. u(x, t) = L x 20 √πt πι (a) Write u(x, t) in terms of the error function erf(x). (c) Evaluate lim u(x, t). +0+1 (d) Evaluate lim u(x, t). and let e 40tf(y) dy.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please give me answers in 5min I will give you like sure
![3. Consider the piecewise continuous function f(x) = { 0
1, x ≥ 0.
1
u(x, t) = L x 20 √ Ft
e
(a) Write u(x, t) in terms of the error function erf(x).
(c) Evaluate lim u(x, t).
t→0+
(d) Evaluate lim u(x, t).
and let
40²t f(y) dy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75953f78-381b-4bc1-a1fb-449cf1f9459a%2F768eaf41-274c-4143-b236-0e47a30735d7%2Fu449kms_processed.png&w=3840&q=75)
Transcribed Image Text:3. Consider the piecewise continuous function f(x) = { 0
1, x ≥ 0.
1
u(x, t) = L x 20 √ Ft
e
(a) Write u(x, t) in terms of the error function erf(x).
(c) Evaluate lim u(x, t).
t→0+
(d) Evaluate lim u(x, t).
and let
40²t f(y) dy.
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