Question

How do you find the unilateral Laplace Transform of x(t)=u(t)-u(t-2)

Answer 1

look it up in my engineering cheetsheet?

Answer 2

\[X(s)={1 \over s}- {e ^{-2s} \over s}\]

Answer 3

AnwarA, can you explain how you found that? did you just use a laplace transform table?

Answer 4

you can use the definition of laplace transform

Answer 5

lemme see if i can make it readable

Answer 6

\[\int\limits_{0}^{\infty}e^(-s*t)f(t)dt\]

Answer 7

well you can easily do it using the Laplace definition or this formula for laplace transform of the unit step function:
\[L[u(t-a)]={e ^{-as} \over s}\]

Answer 8

yea, that didn't work, well, you can ignore when the step function is zero, and integrate where t > 0, or t-2 > 0

Answer 9

Ah okay, thank you both.

Answer 10

no problem.

Answer 11

np