Thread: Finding Laplace Transform using first shifting theorem

1. Finding Laplace Transform using first shifting theorem

1. Find the Laplace transform of e^(-2t) sinηπt

2. Originally Posted by ghazala
1. Find the Laplace transform of e^(-2t) sinηπt
Where are you stuck?

Theorem: $LT\left[ e^{at} f(t) \right] = F(s - a)$ where $F(s) = LT[f(t)]$

In your case a = -2 and $f(t) = \sin (nt)$. You should be able to look up a table of Laplace transforms to get F(s) .....

3. yup thts wht i did..

(ηπ + 2)/ (ηπ + 2)^2 + s^2

i think i made a mistake smwhere :S

4. Originally Posted by ghazala
yup thts wht i did..

Laplace transform of $f(t) = \sin (nt)$ is $F(s) = \frac{n}{s^2 + n^2} \, ....$