Convert the differential equation $y^{\text{'}\text{'}\text{'}}+4y^{\text{'}\text{'}}-4y^{\text{'}}-5y=e^{-3t}+3t$ into a system of first order equations by letting $y_1=y,y_2=y^{\text{'}},y_3=y^{\text{'}\text{'}}$

Note: Type $y_1,y_2,y_3,$ and $t$ to write your variables.

$y_1^{\text{'}}=$

$y_2^{\text{'}}=$

$y_3^{\text{'}}=$