Question $3$

Solve the initial value problem:

$y^{\text{'}\text{'}}-4y^{\text{'}}-5y=0,y(0)=-2,y^{\text{'}}(0)=8$

What $is$ the solution $y(t)?$

$y(t)=-e^{5t}+3e^{-t}$

$y(t)=-e^{5t}-e^{-t}$

$y(t)=-3e^{5t}+e^{-t}$

$y(t)=e^{5t}-3e^{-t}$