1. The problem statement, all variables and given/known data I know for t[u(t)-u(t-2)], we can simplify that to tu(t)-((t-2)+2)u(t-2) which then gives us tu(t)-(t-2)u(t-2)-u(t-2). Now, the laplace transform seems trivial but I am having problems with this equation: sin(t)[u(t)-u(t-pi)] 2. Relevant equations n/a 3. The attempt at a solution sin(t)[u(t)-u(t-pi)] =sin(t)u(t) - sin(t)u(t-pi) = sin(t)u(t) - sin ((t-pi)+pi)u(t-pi) Where do we go from here as the t-pi+pi is inside the sine i.e its a function of sine. We can't exactly take it out and multiply over. How can we take this to the form where I can take the laplace transform easily ? Similar problem where I am having trouble: e-t u(t-2). This one I do not even know where to start as the -t is in the exponent this time. Thanks.