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])