1. y(t) = Ket - e^-2t
3. y(t) = Ket -(1/5) cos(2t) + (2/5) sin(2t)
5. y(t) = (4/7) e-2t + (3/7)et/3
7. y(t) = (24/5)e-t + (1/5)cos(2t) + (2/5)sin(2t)
9. a. No, there is not.
b. Look at the class notes where we went over exactly this type of
problem.
(Of course, if you write a lousy essay like this on an exam, the
powers that be would frown quite a bit....)