In Problems through, first derive a recurrence relation giving cn for n ≥ 2 in terms of c0...
In Problems through, first derive a recurrence relation giving cn for n ≥ 2 in terms of c0 or c1 (or both). Then apply the given initial conditions to find the values of c0, and c1. Next determine cn (in terms of n, as in the text) and, finally, identify the particular solution in terms of familiar elementary functions.
y″ − 4y = 0; y(0) = 2, y′(0) = 0
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