# Question: for the differential equation a find the set of points...

###### Question details

For the differential equation

a) find the set of points (a, b) for which , y(a) = b satisfies the hypotheses of the existence theorem. Since is continuous for all the values of (t, y), (a, b) can be any point in the plane.

b) find the set of points (a, b)t for which , y(a) = b satisfies the hypotheses of the uniqueness theorem. is continuous for a ll the values of (t, y) except y = 0, (a, b) can be any point in the plane other than b = 0.

c) find two different solutions of , y(0) = 0