DE Solution Spaces: For each of the differential equations given in Problems 1-2, consider their solution sets.

Question:

DE Solution Spaces: For each of the differential equations given in Problems 1-2, consider their solution sets.
(a) Does the solution set form a subspace of the specified larger space? If not, explain?
(b) If the solution set is a subspace, find a basis and determine the dimension?
1. dny/dtn = 0, Cn(R)
2. y' - 2y = 0, C1(R)
3. y' - 2ty = 0, C1 (- (/2, (/2)