Hi all, I'm having a bit of trouble solving this problem. The instructions say to find the Laplace transform of the given function.

The given function:

Phew! Trying to create that in LaTeX was probably just as difficult :)

Thanks for reading!

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- April 13th 2010, 12:25 AMTheBerkeleyBossStep Functions
Hi all, I'm having a bit of trouble solving this problem. The instructions say to find the Laplace transform of the given function.

The given function:

Phew! Trying to create that in LaTeX was probably just as difficult :)

Thanks for reading! - April 13th 2010, 12:54 AMHallsofIvy
- April 13th 2010, 11:48 PMbandedkrait
You can solve this by redefining the function in terms of the unit step function

So the given function may be written as

Now, an important property regarding laplace transforms of unit step functions is

Therefore here, and

So the laplace transform can be evaluated using the above property