Question: The error function below is used in probability, statistics, and engineering. erf ( x ) = Vn betz at it five - 1 at =

The error function below is used in probability, statistics, and engineering. erf ( x ) = Vn betz at it five - 1 at = = Vx (ent(b) - en(a) ]. We have the following. erf ( x ) = e-12 at - ( *e-12 at = ( erf ( x ) By the property of definite integrals that states 1 . Rx) ax + ( R(x ) ax = [ R(x ) Ox , we get the following. dt So dt = VI erf(b ) - VT ert( 2 2 2Vierf( b ) - ert( (b) Show that the function y = ex erf(x) satisfies the differential equation y' = 2xy + y = ex erf ( x ) = y ' = 2 xex erf ( x ) + erf' ( x)

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