Hello,

I'm stuck part way through this:

A Linear, time invariant system has the impulse response $\displaystyle h(t) = tu(t-1) $ Find the transfer function $\displaystyle H(s)$ and use it to find the response to the input $\displaystyle x(t) = u(t) - 2u(t-1) + u(t-2)$

I have found $\displaystyle H(s) = \frac{e^{-s}}{s^2} + \frac{e^{-s}}{s}$

And $\displaystyle X(s) = \frac{1}{s} - \frac{2e^{-s}}{s} + \frac{e^{-2s}}{s}$

But I'm confusing myself in the algebra to find Y(s)... I keep ending up with long, confusing equations. I can't seem to find the correct form for the inverse laplace transform...

I would prefer a few hints in the right direction or a starter rather than a full blown solution if you could