Write the function in terms of unit step functions. Find the Laplace transform of the given function. f(t) = 5, 0 ≤ t < 7 −3, t ≥ 7

In this exercise you have to find the laplace transform:

Rewrite f in terms of the unit step function:

Where:

Recall the time-shifting property of the Laplace transform:

and the Laplace transform of a constant function,

So we have:

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Rewrite f in terms of the unit step function:

where

Recall the time-shifting property of the Laplace transform:

and the Laplace transform of a constant function,

So we have