Without solving, match a solution curve of y” + y = f (x) shown in the figure with one of the following functions:
(i) f (x) = 1, (ii) f (x) = e−x,
(iii) f (x) = ex, (iv) f (x) = sin 2x,
(v) f (x) = ex sin x, (vi) f (x) = sin x.
Briefly discuss your reasoning.
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