Question: The error function is used in probability, statistics, and engineering. (a) Show that yb a e2t 2 dt 12 s ferfsbd 2 erfsadg. (b)

The error functionerf(x) = 2 Jo -12 dt

is used in probability, statistics, and engineering.

(a) Show that yb a e2t 2 dt − 12 s ferfsbd 2 erfsadg.

(b) Show that the function y − ex 2erfsxd satisfies the differential equation y9 − 2xy 1 2ys .

erf(x) = 2 Jo -12 dt

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