Hello...
I am trying to put this step function tu(t-1) into the form of f(t-a)u(t-a) so that I can use the shifting property which says taking the Laplace Transform of f(t-a)u(t-a) will give me e<sup>-as</sup>F(s).
To use this property I need to shift the t and make it t-1, but the book says in order to do this, you need to add and subtract u(t-1). So you would get
tu(t-1) = (t-1)u(t-1) + u(t-1)
I don't understand how they got the u(t-1) tacked on to the end. Why and how did they get this??
I am trying to put this step function tu(t-1) into the form of f(t-a)u(t-a) so that I can use the shifting property which says taking the Laplace Transform of f(t-a)u(t-a) will give me e<sup>-as</sup>F(s).
To use this property I need to shift the t and make it t-1, but the book says in order to do this, you need to add and subtract u(t-1). So you would get
tu(t-1) = (t-1)u(t-1) + u(t-1)
I don't understand how they got the u(t-1) tacked on to the end. Why and how did they get this??
