Consider the differential equation $\frac{d^2y(t)}{dt^2} + 2 \frac{dy(t)}{dt} + y(t)=\delta (t)$ with $y(t) \mid_{t=0^-}= -2$ and $\frac{dy}{dt} \mid _{t=0^-} =0$. The numerical value of $\frac{dy}{dt} \mid _{t=0^+}$ is

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