Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem has a unique solution. dy dx y(0) = 3 . . . Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The theorem implies the existence of a unique solution because y + x (16 + x8 ) and = are both continuous in a rectangle containing the dy point (Type an ordered pair.) O B. The theorem does not imply the existence of a unique solution because a(y6 +x8) yo + x is continuous but is not continuous in any dy rectangle containing the point (Type an ordered pair.), O C. The theorem does not imply the existence of a unique solution because y'5 + x" is not continuous in any rectangle containing the point (Type an ordered pair.)