This is literally the first day ive ever encountered laplace transformation so I'm gonna apologise in advance if the answer to this question is blantantly obvious. I am currently trying to solve the following equation using laplace transformation:

Subject to the initial condition that y(0) = 1

The laplace transform I have as:

In all the previous examples I have thus far completed the initial condition has been y(0) = 0, and therefore the y(0) term in the laplace equation can be disregarded leaving:

Which is in my laplace transform tables under:

Where k, a and

B are constants

However if the intitial condition is y(0) = 1, the equation now becomes:

I now have the issue that the equation no longer fits my laplace table equation and I cannot locate an inverse laplace transform simply for a constant. Does anyone know how this equation can be rearranged back in terms of x(t)? Thanks