pretty new to this concept, so do bear with me.
I've already found the transfer function by assuming that the initial conditions are set to 0, getting the calculated stuff as shown above. I will then inverse Laplace it in order to find h(t), which turns out to be (exp^(-4t)t)
If so, why did the questions give me the initial conditions? What should I do with them? Also, how do I determine whether the system is stable? Unclear of this.
As per EDIT:
In this case, how do I find the TF? I'm supposed to divide by X(s) in both sides, but the equation on the right will have a problem won't it?