$(1$ point$)$ Show that any function of the form

$x=$Acosh$(wt)+$Bsinh$(wt)$

satisfies the differential equation

$x^{\text{'}\text{'}}-w^{2}x=0$

by calculating the following:

$x^{\text{'}\text{'}}=$

$w^{2}x=$

so that $x^{\text{'}\text{'}}-w^{2}x=$