Let n 1, 2, 3, . . . . Discuss how the observations D n x

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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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