A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. $$\left(r^{2}+4r+8\right)^{3}r\!\left(r+2\right)^{2} = 0$$ Write the nine fundamental solutions to the differential equation as functions of the variable $t$.

$y_1 =$

$\qquad y_2 =$

$\qquad y_3 =$

$y_4 =$

$\qquad y_5 =$

$\qquad y_6 =$

$y_7 =$

$\qquad y_8 =$

$\qquad y_9 =$

(You can enter your answers in any order.)