Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem has a unique solution. y+x, y(0)=7 dy dx Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The theorem implies the existence of a unique solution because y +x and (Type an ordered pair.) 8 a(y+x) = are both continuous in a rectangle containing the point OB. a(y+x) The theorem does not imply the existence of a unique solution because y +x8 is continuous but (Type an ordered pair.), is not continuous in any rectangle containing the point dy C. The theorem does not imply the existence of a unique solution because y +x is not continuous in any rectangle containing the point (Type an ordered pair.)