hello
Determine the Laplace transforms of these functions:
I see the table for laplace but I do not find same this in table !
what I will do?

 

http://tutorial.math.lamar.edu/pdf/Laplace_Table.pdf

 

hello
Determine the Laplace transforms of these functions:
I see the table for laplace but I do not find same this in table !
what I will do?

View attachment 76460

You use what are generally called "operational transforms" to manipulate this into a form for which you have a "functional transform" in the table.

For instance, could you work any of the following:

f(t) = t·u(t)

f(t) = (t - 2 sec)·u(t - 2 sec)

f(t) = (t - 2 sec)·u(t)

f(t) = t·u(t - 2 sec)

 

@WBahn

I don't think he's familiar with the (t-a) shift nor the unit-step (Heaviside) function. That's what the confusion is, I think.

 

@WBahn

I don't think he's familiar with the (t-a) shift nor the unit-step (Heaviside) function. That's what the confusion is, I think.

Which is why I asked which, if any, of those forms he could work. Trying to narrow down where the boundary is of what he does and doesn't know so that we have someplace to start.