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Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem has a unique solution. dy = y + x2, y(0) = 8 dx Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The theorem does not imply the existence of a unique solution because y + x² is not continuous in any rectangle containing the point (Type an ordered pair.) OB. a(y® + x) The theorem implies the existence of a unique solution because y + x2 and are both continuous in a rectangle containing the point (Type an ordered pair.) a(y6 + x) The theorem does not imply the existence of a unique solution because y + x2 is continuous but is not continuous in any rectangle ду C. Oy containing the point (Type an ordered pair.),