$(10$ points$)$ Solve the following initial value problem. Please show all your work

$y^{\text{'}\text{'}}(t)-4y^{\text{'}}(t)+4y(t)=e^{2t}$

$y(0)=1$

$y^{\text{'}}(0)=3$

$($Hint: feel free to use your last two questions' results$)$