Solve the initial value problem.

y double prime plus $6$ y prime plus $13$ y equals $0$y$+6$y$+13$y$=0$;

$$

$$y$(0)$equals$=44,$

$$

y prime left parenthesis $0$ right parenthesisy$(0)$equals$=$negative $1111.$ The particular solution is

$$y$($t$)$equals$=?$