Question

Give the Laplace transform of

-4x-3 0≤x and x<2
2 2≤x

Answer 1

Do you know about laplace tables ?

Answer 2

i do. but what about the boundaries?

Answer 3

i have a table with me right now, but I don't know how to do it with the boundaries.

Answer 4

our teacher assigned this to us without even teaching us how to do it, and its due tomorrow....

Answer 5

...to my knowledge, there shouldn't be a way different approach when it has boundaries. Outside the "when x is between this, L(f(t) = this". Let me look up some of my courses really quick but I seriously doubt there's anything special to it.

Answer 6

ok.

Answer 7

Nothing in my book about it. Well, they're not really that hard. All you need to do is bring the equation into a form that can be easily converted using the table.

For the first one the transform is -4/p^2 -3/p in that interval.
For the second it is 2/s.

Answer 8

so all you do is combine the first and second term and that's it?

Answer 9

Just say that the L( f(t) ) = -4/p^2 -3/p for x between 0 and 2 and it equals 2/p when x is less than 2.

Answer 10

That's what I'd say. I'm not 100% sure but that's my 2 cents.