2) The Laplace Transform ℒ{e^-t^2} exists, but without finding it, solve the given IVP y” + y =

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2) The Laplace Transform $\mathcal{L}\{e^{-t^2}\}$ exists, but without finding it, solve the given IVP $y'' + y = e^{-t^2}$, $y(0) = 0$, $y'(0) = 0$.