$\{$Number $6/7$ pleaseee$\}$

Use the Laplace transform to solve the first$-$order initial value problems in Exercises $1-10.$

$y^{\text{'}}+3y=e^{2t},y(0)=-1$

$y^{\text{'}}+9y=e^{-t},y(0)=0$

$y^{\text{'}}+4y=cost,y(0)=0$

$y^{\text{'}}+16y=sin3t,y(0)=1$

$y^{\text{'}}+6y=2t+3,y(0)=1$

$y^{\text{'}}+8y=t^2,y(0)=-1$

$y^{\text{'}}+8y=e^{-2t}sint,y(0)=0$