Question: The error function is used in probability, statistics, and engineering. (a) Show that (b) Show that the function y = e x2 erf(x) satisfies the

The error function

2 erf(x) ienda -12 2 dt IL

is used in probability, statistics, and engineering.

(a) Show that

(b) Show that the function y = ex2 erf(x) satisfies the differential equation y' = 2xy + 2/√π.

2 erf(x) ienda -12 2 dt IL

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