Find the general solution of the given differential equation. (x + 1) dy + (x + 2)y = 8xe^-x 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.)
______