Find the general solution of the given differential equation. ry + (6x + 1)y = e-6x y ( x ) = Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.) Need Help? Read It [-/1 Points] DETAILS ZILLDIFFEQMODAP11 2.3.024. Find the general solution of the given differential equation. (x 2 - 4) -2 + 4y = (x + 2)2 y ( x ) = Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE. Hint: Expand the general solution into additive terms. A transient term is defined as: term -> 0 as x -> co.) Need Help? Read it [-/1 Points] DETAILS ZILLDIFFEQMODAP11 2.3.027. Solve the given initial-value problem. xy' + y = e*, y(1) = 9 y ( x ) = Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.) 1 =