Find a general solution to the given Cauchy-Euler equation for t> 0. dy + 4t- - 54y = 0 dt The general solution is y(t) =.Find a general solution to the differential equation. y\"10y'+25y=t_?e5t The general solution is t) = D. Discuss the existence and uniqueness of a solution to the differential equation (5 +t2) y\" + ty' - y = tan t that satises the initial conditions y( - 3) = Y0, y'( - 3) =Y1 where Y0 and Y1 are real constants. Select the correct choice below and fill in any answer boxes to complete your choice. '3' A- Asolution is guaranteed on the interval