Find the set of fundamental solutions by using the

Question

Find the set of fundamental solutions by using the differential operator method:

[D² - (2α - 1)D + α (α - l)y = 0, t ∈ (0, ∞);

and determine the values of α, for which all solutions tend to zero as t→∞, also determine the values of α, for which all solutions become unbounded as t→∞.