Q$1$

$[20$ POINTS$]$

Use Laplace transformation to find $x(s)$ in the following differential equations $($with zero initial conditions$),$

A$-1)\frac{dx}{dt}+7x=5cos(2t)$

A$-2)\frac{d^{2}x}{d{t}^2}+2\frac{dx}{dt}+x=5e^{-2t}+t$