For DE y'' + 4y = 0, general solution:
Ay = e^(2x)
By = sin x
Cy = A + B
Dy = A cos 2x + B sin 2x (period π)
Answer & Solution
Correct answer: D. y = A cos 2x + B sin 2x (period π)
Auxiliary: m² + 4 = 0 → m = ±2i. y = A cos 2x + B sin 2x. SHM with ω = 2, period T = π.
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