Free Printable Quizizz EDO 3.4 | Outras Transformadas de Laplace INVERSA

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Encontrar a $TL^{-1}\left[\frac{1}{s\left(s+1\right)}\right]$ é o mesmo que encontrar a Transformada de Laplace Inversa de:

$\frac{1}{s}-\frac{1}{s+1}$

$\frac{1}{s}+\frac{1}{s+1}$

$\frac{1}{s^2}+\frac{1}{s^{ }}$

$\frac{1}{2s}-\frac{1}{s+1}$

Encontrar a $TL^{-1}\left[\left(\frac{3}{s}-\frac{1}{s^4}\right)^2\right]$ é o mesmo que encontrar a Transformada de Laplace Inversa de:

$\frac{9}{s^2}-\frac{6}{s^5}+\frac{1}{s^8}$

$\frac{9}{s^2}-\frac{1}{s^8}$

$\frac{6}{s^2}-\frac{1}{s^{16}}$

$\frac{9}{s^2}+\frac{6}{s^5}+\frac{1}{s^6}$

A Transformada de Laplace inversa de $X\left(s\right)=\frac{9}{s^2}+\frac{6}{s^5}+\frac{1}{s^6}$ é

$x\left(t\right)=9t-6t^4+\frac{1}{5}t^5$

$x\left(t\right)=9t^2+\frac{1}{4}t^4+\frac{1}{120}t^5$

$x\left(t\right)=9t+\frac{1}{4}t^4+\frac{1}{120}t^5$

$x\left(t\right)=9t+\frac{1}{24}t^4+\frac{1}{120}t^5$

A Transformada de Laplace inversa de $X\left(s\right)=\frac{2}{3s+4}$ é

$x\left(t\right)=2e^{4t}$

$x\left(t\right)=\frac{2}{3}e^{-4t}$

$x\left(t\right)=2e^{-\frac{4}{3}t}$

$x\left(t\right)=\frac{2}{3}e^{-\frac{4}{3}t}$

A Transformada de Laplace inversa de $X\left(s\right)=\frac{2s}{3s^2+9}$ é

$x\left(t\right)=\frac{2}{3}\cos\left(3t\right)$

$x\left(t\right)=\frac{2}{3}\cos\left(\sqrt{3}t\right)$

$x\left(t\right)=2\cos\left(3t\right)$

$x\left(t\right)=2\cos\left(\sqrt{3}t\right)$

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