Question

Description acceptable. One of these functions is the fixed point of a sequence of Picard iterations. Given a Lipschitz continuous function, one of these functions is unique by the Picard–Lindelöf theorem. One of these functions exists as a consequence of the Arzela–Ascoli theorem according to a theorem by Peano. These functions are approximated with total error bounded by the fourth power of step size in the standard Runge–Kutta (“ROON-guh KOOT-ah”) method. Finding these functions (10[1])is the goal of initial value problems and boundary (10[1])value problems. (-5[2])Families of these functions are plotted on slope fields. (10[1])In simple cases, (-5[1])these functions can be determined by separation of variables. (10[2])For 10 points, name these functions that satisfy equations relating them to their derivatives. ■END■ (10[2]0[3])

ANSWER: solutions to ordinary differential equations [or solutions to ODEs or solutions to diff eqs; prompt on solutions]
<Other Science>
= Average correct buzz position

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Summary

2023 ACF Winter @ Columbia11/11/2023Y978%0%33%97.71

Buzzes

PlayerTeamOpponentBuzz PositionValue
Aum MundheRutgers ARowan A7110
Forrest WeintraubColumbia APenn B8010
Mihir ShettyColumbia CColumbia B82-5
Iyanu NafiuYale CRutgers B82-5
Austin GuoPrinceton ANYU B9110
Sam MacchiVassarPrinceton B94-5
Richard NiuCornell CHaverford10310
Eshan PantNYU AYale B10310
Jason QinColumbia BColumbia C11810
Anirudh BharadwajPenn AYale A1180
William OrrYale APenn A1180
Jupiter DingPrinceton BVassar11810
Mark TawfikRutgers BYale C1180