Question

c) Encontrar $F(s)$ o $f(t)$ como se indica. 1.- $\mathcal{L}\{e^{-2t}\cos4t\}$ 2.- $\mathcal{L}^{-1}\{\frac{2s+5}{s^2+6s+34}\}$ 3.- $\mathcal{L}^{-1}\{\frac{(s+1)^2}{(s+2)^4}\}$

Name: c encontrar fs o ft como se indica 1 mathcalle 2tcos4t 2 mathcall 1frac2s5s26s34 3 mathcall 1fracs12s24 99475
Uploaded: 2023-12-08T09:55:11-08:00
Duration: 1 min 53 s
Channel: Adi S
Description: c encontrar fs o ft como se indica 1 mathcalle 2tcos4t 2 mathcall 1frac2s5s26s34 3 mathcall 1fracs12s24 99475

          c) Encontrar $F(s)$ o $f(t)$ como se indica.
1.- $\mathcal{L}\{e^{-2t}\cos4t\}$
2.- $\mathcal{L}^{-1}\{\frac{2s+5}{s^2+6s+34}\}$
3.- $\mathcal{L}^{-1}\{\frac{(s+1)^2}{(s+2)^4}\}$

$c encontrar fs o ft como se indica 1 mathcalle 2tcos4t 2 mathcall 1frac2s5s26s34 3 mathcall 1fracs12s24 99475$

Added by Amanda P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

12/08/2023

Step 1

We use the property of Laplace transform: $\mathcal{L}\{e^{at}f(t)\} = F(s-a)$, where $F(s) = \mathcal{L}\{f(t)\}$. In this case, $a=-2$ and $f(t) = \cos(4t)$. We know that $\mathcal{L}\{\cos(4t)\} = \frac{s}{s^2+16}$. Therefore, $\mathcal{L}\{e^{-2t}\cos(4t)\} = Show more…

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c) Encontrar $F(s)$ o $f(t)$ como se indica. 1.- $\mathcal{L}\{e^{-2t}\cos4t\}$ 2.- $\mathcal{L}^{-1}\{\frac{2s+5}{s^2+6s+34}\}$ 3.- $\mathcal{L}^{-1}\{\frac{(s+1)^2}{(s+2)^4}\}$