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@annas please don't just give the answer without at least an explanation or walking the person through. Also this is a differential equation, what you have as the answer is really way off. Sorry.
@Brandie you have e^t on the other side of the equation and y' and y on the other why don't you try to figure out what the constant A is in y=Ae^t since this is form your answer will take based on what we have on both sides
so you will need to find y' and plug in
and solve for A
you will also need to look for the solution to the homogenous equation