(a) Find the general solution of the differential equation $$y''(t) + 9 y(t) = 0.$$ general solution =
(Use the letters A and B for any constants you have in your solution.)

(b) For each of the following initial conditions, find a particular solution.
(i) $y(0)=0$, $y'(0)=1$: $y =$
(ii) $y(0)=1$, $y'(0)=0$: $y =$
(iii) $y(0)=1$, $y(1)=0$: $y =$
(iv) $y(0)=0$, $y(1)=1$: $y =$
(On a sheet of paper, sketch a graph of the solutions you found in part (b) to see how they differ.)