Tagged Questions

1
vote
2answers
66 views

Laplace transforms please help

I really need help to find to Laplace transforms of $f(x)=x+e^{-x}$, and $g(x)=xe^x$. I'm having big troubles on the calculations. Thanks.
1
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2answers
45 views

Laplace of two functions multiplied together?

I'm trying to figure out how to do the Laplace transform of $\delta(t-\pi) \sin{t}$. I know the Laplace transform of each of these. But how would I find it when they are multiplied together?
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0answers
74 views

How to perform an inverse Laplace transform

I'm trying to work out the inverse Laplace transform $$f(z)=\mathcal{L}^{-1}\left\{s^2\log\left(1-\frac{z}{s}\right)\right\}.$$ To make sure this was first possible I turned to Mathematica and ...
1
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1answer
224 views

Find the Laplace transform of $g(t) = 1+cos^2(2t)$ by direct integration

I'm having trouble finding out how to directly integrate the function $f(t)$ because of the $\cos^2(2t)$ term. I understand that $\cos^2(2t) = \frac{1}{2} + \frac{1}{2}\cos(4t)$ but I don't ...
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1answer
208 views

Numerically calculating inverse Laplace via the inverse Laplace transformation formula

I'm trying to simulate a control system whose transfer function is $H(s)$. I'm comparing different numerical methods for this. I have already used these two methods: - Converting the transfer function ...