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Problem B.6. The antiderivative of e", set equal to zero at r = 0 and multiplied by 2//ñ, is called the error function, abbreviated erf x: 2 erf x = dt. (a) Show that erf(±x) = ±1. (b) Evaluate Pe * dt in terms of erf x. (c) Use the result of Problem B.4 to find an approximate expression for erf r when x > 1.

Problem B.6. The antiderivative of e", set equal to zero at r = 0 and multiplied by 2//ñ, is called the error function, abbreviated erf x: 2 erf x = dt. (a) Show that erf(±x) = ±1. (b) Evaluate Pe * dt in terms of erf x. (c) Use the result of Problem B.4 to find an approximate expression for erf r when x > 1.

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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Problem B.6. The antiderivative of e-“, set equal to zero at a = 0 and multiplied by 2/VT, is called the error function, abbreviated erf æ: 2 erf x = -t° dt. (a) Show that erf(±0) = ±1. (b) Evaluate Pet* dt in terms of erf x. (c) Use the result of Problem B.4 to find an approximate expression for erf æ when x > 1.
Transcribed Image Text:Problem B.6. The antiderivative of e-“, set equal to zero at a = 0 and multiplied by 2/VT, is called the error function, abbreviated erf æ: 2 erf x = -t° dt. (a) Show that erf(±0) = ±1. (b) Evaluate Pet* dt in terms of erf x. (c) Use the result of Problem B.4 to find an approximate expression for erf æ when x > 1.
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