Which of the following equations is a solution to the differential equation y"+ y=0?
y = -e-x
y = -ex
y = cos x + sin x
y = sin 2x

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it looks like the last option, though i may be wrong

Thanks, I don't understand how to find solutions to differential equations.

y'' of sinx is -sinx so you are back to 0 if you start with 0

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