Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem has a unique solution. dy dx = =x4, y(1) =0 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 is continuous but dy is not continuous in any rectangle containing the point (Type an ordered pair.) O B. The theorem does not imply the existence of a unique solution because is not continuous in any rectangle containing the point (Type an ordered pair.) O C. The theorem implies the existence of a unique solution because and dy are both continuous in a rectangle containing the point (Type an ordered pair.)