For the differential equation $\small{y'' + 4y' + 13y = 0}$, a general solution is of the form $\small{y = e^{-2x} (C_1 \sin 3x + C_2 \cos 3x)}$, where $\small{C_1}$ and $\small{C_2}$ are arbitrary constants.
Applying the initial conditions $\small{y(0) = 1}$ and $\small{y'(0) = -11}$, find the specific solution.

y =