Given the following ODE: ${x}^{\u2033}-{x}^{\prime}-6x=0$. In addition we are given the following definitions:

$L{f}^{\prime}(t)=sF(s)-f(0)$ and

$L{f}^{\u2033}={s}^{2}-sf(0)-{f}^{\prime}(0)$

The part I am confused about is what is the transformation of −6x?

$L{f}^{\prime}(t)=sF(s)-f(0)$ and

$L{f}^{\u2033}={s}^{2}-sf(0)-{f}^{\prime}(0)$

The part I am confused about is what is the transformation of −6x?