Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem has a unique solution. oy = y2 + x?, y(0) = 2 Select the correct choice below and fill in the answer box(es) to complete your choice. ??. a(y2 + x2) The theorem does not imply the existence of a unique solution because y+ x is continuous but – = is not continuous in any rectangle containing the point (Type an ordered pair.), . OB. 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.) OC andy ay2 + The theorem implies the existence of a unique solution because y + x' and — = are both continuous in a rectangle containing the point (Type an ordered pair.)