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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
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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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.
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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