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(D^4 + 1)y = 0 where D=d/dx

I know that trying y=e^(rt) is the obvious solution, however, when you solve this you get r^2 = +-i. At this point I am unsure of what to do becuase if I take the square root of "i" I am unsure of how I will represent it in a general solution. Any assistance would be greatly appreciated, thanks!