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- 25x = 0, which has a one-parameter family of implicit solutions 25x2 - 16y2 = C for every constant C. Complete parts (a) Consider the differential equation 16y dx through (c) below. (a) Does the Existence and Uniqueness of Solution Theorem imply the existence of a unique solution to the differential equation that satisfies y(x) = 0? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The theorem implies the existence of a unique solution for all values of Xo OB. The theorem does not imply the existence of a unique solution for any values of Xo OC. The theorem implies the existence of a unique solution only for values of Xo in the interval (Type your answer in interval notation.)