For each function y(t), determine if it is a solution to
Chapter , Problem 8(choose chapter or problem)
For each function y(t), determine if it is a solution to the second-order equation d2 y dt2 + ky = 0, assuming k satisfies the given condition. (a) y(t) = sin kt, k < 0 (b) y(t) = 0, k > 0 (c) y(t) = t 2, k = 0 (d) y(t) = sin k t +2 cos k t, k > 0 (e) y(t) = ekt , k > 0 (f) y(t) = e kt , k < 0
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