The error function erfsxd 2 s y x 0 e2t 2 dt is used in probability, statistics, and

Chapter 5, Problem 80

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The error function erfsxd 2 s y x 0 e2t 2 dt is used in probability, statistics, and engineering. (a) Show that y b a e2t 2 dt 1 2 s ferfsbd 2 erfsadg. (b) Show that the function y ex 2 erfsxd satisfies the differential equation y9 2xy 1 2ys .

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