State what the general existence uniqueness theorem tells you about each of these initial value problems. State what it tells you about the interval of the solution. Sketch a graph of the plane to show for what values of 10 and yo we are guaranteed a unique solution. (a) (x-2) y = y — 1, y (0) = 2 (b) (x-2) y = y − 1, y (3) - = 1 (c) (x-2) y = y − 1, y (2) = 7