Discuss the existence and uniqueness of a solution to the differential equation 8 1 y ty y tant that satisfies the initial conditions y 4 Yo y 4 Y where Y and Y are real constants Select the correct choice below and fill in any answer boxes to complete your choice OA A solution is guaranteed only at the point to OB A solution is guaranteed on the interval OC A solution is guaranteed on the interval t t q t and g t because the functions p t because it contains the point to because it contains the point to are simultaneously defined at that point q t q t and g t and g t and the functions p t and the functions p t are equal on the interval are simultaneously continuous on the interval