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라플라스 변환

라플라스 변환

$f(t)=\sin t + 2 \cos t$ 를 라플라스 변환하면?

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1

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

2

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

3

$\dfrac{2s}{(s+1)^2}$

4

$\dfrac{2s+1}{(s+1)^2}$

Solution

$f(t) = \sin t + 2\cos t$

$\mathcal{L} \left( \sin t + 2\cos t \right) = \dfrac{1}{s^2+1} + 2 \dfrac{s}{s^2+1} = \dfrac{2s+1}{s^2+1}$

Correct answer: 2

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