How to take the laplace of $e^{t}$
4,432
You are interested in twosided Laplace transform probably:
$\mathcal{L}(e^{t})= \int_{\infty}^0e^t\cdot e^{st} dt+\int_{0}^{\infty}e^{t}\cdot e^{st} dt$
From here you may go on.
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CoderNinja
Trying to get through college without dying. Love making apps in free time, self teaching ObjC.
Updated on February 25, 2020Comments

CoderNinja over 3 years
I seem to be having some trouble trying to compute the laplace transform of this function. I looked on Wolfram and it said the answer was simply $$\dfrac{1}{s+1}$$ but I highly doubt that is the correct answer. How should I go about trying to simplify the absolute value? Thanks for your time!

user99680 over 9 yearsHow about considering the cases $t \geq 0$ and $t<0$ separately?


CoderNinja over 9 yearsThanks! This is exactly what I needed. Couldn't for the life of me figure out how to separate the abs