What is the Laplace transform of $$x(t) = e^{-t}\cos{\pi t}$$?

If $$\ddot x \dot x - 6x = e^{-t}$$, with $$x(0)=\dot x(0)=0$$, what is $$X(s)$$?

If $$\displaystyle{X(s) = \frac{1}{(s 1)(s 2)(s 3)}}$$, what is $$x(t)$$?