Which of the following is a solution to the differential equation y” + 4y = 0?

a) y = e^(2x)
b) y = e^(-2x)
c) y = sin(2x)
d) y = cos(2x)

Answer: c) y = sin(2x) and d) y = cos(2x)

Explanation: The characteristic equation of the differential equation is r^2 + 4 = 0, which has roots r = ±2i. Therefore, the general solution is y = c1sin(2x) + c2cos(2x), where c1 and c2 are constants. Therefore, both c) and d) are solutions.

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