Discuss the existence and uniqueness of a solution to the differential equation t (t minus 5 )y double prime plus 2 t y prime minus y equals t squared that satisfies the initial conditions y (2 )equals Upper Y 0, y prime (2 )equals Upper Y 1 where Upper Y 0 and Upper Y 1 are real constants. Select the correct choice below and fill in any answer boxes to complete your choice. A. A solution is guaranteed only at the point t 0equals nothing because the functions p(t)equals nothing, q(t)equals nothing, and g(t)equals nothing are simultaneously defined at that point. B. A solution is guaranteed on the interval nothingless thantless than nothing because it contains the point t 0equals nothing and the functions p(t)equals nothing, q(t)equals nothing, and g(t)equals nothing are simultaneously continuous on the interval. C. A solution is guaranteed on the interval nothingless thantless than nothing because it contains the point t 0equals nothing and the functions p(t)equals nothing, q(t)equals nothing, and g(t)equals nothing are equal on the interval.