How would the initial value problems below be solved? For each problem, state the largest interval in which the solution function is defined.

5. y" + y' + 12y = 0 y(TT) = -2 y'(m) = -1 6. y" + 2y' - 3y = 0 y(27) = 1 y'(2n) = 1 7. y" + 2y' - 4y = 0 y(2) = 1 y'(0) = -1