Dnxn-1 = 0 and Dnxn = n!
Let n = 1, 2, 3, . . . . Discuss how the observations Dnxn-1 = 0 and Dnxn = n! can be used to find the general solutions of the given differential equations.
(a) y” = 0 (b) y'” = 0 (c) y(4) = 0
(d) y” = 2 (e) y'” = 6 (f) y(4) = 24
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