Use Laplace transforms $to$ solve the following initial value problem.

$x^{(3)}+x^{\text{'}\text{'}}-12x^{\text{'}}=0$;$x(0)=0,x^{\text{'}}(0)=x^{\text{'}\text{'}}(0)=2$

First find the Laplace transform $ofx(t).$

$x(s)=$