$$\int_{0}^{\infty} f(-t)e^{-st}dt$$

$$\int_{0}^{\infty} f(-t)e^{st}dt$$

$$\int_{0}^{\infty} f(t)e^{-st}dt$$

$$\int_{0}^{\infty} f(t)e^{st}dt$$

$$e^{-st}$$

$$\dfrac{1}{s}e^{-st}$$

$$\dfrac{1}{e^{-st}}$$

$$\dfrac{1}{s}$$

0

1

$$\dfrac{1}{s}$$

$$\dfrac{1}{s+a}$$

$$\dfrac{s}{5}$$

$$\dfrac{5}{s^2}$$

$$\dfrac{5}{s-1}$$

$$\dfrac{5}{s}$$

인디셜

임펄스

전달 함수

램프 함수

$$\dfrac{1}{s}$$

$$\dfrac{K}{s}$$

$$\dfrac{e^{t}}{s}$$

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

$$u(s)-e^{-as}$$

$$\dfrac{2s+a}{s(s+a)}$$

$$\dfrac{a}{s(s+a)}$$

$$\dfrac{a}{s(s-a)}$$

$$\dfrac{s}{s^2-\omega^2}$$

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

$$\dfrac{\omega}{s^2-\omega^2}$$

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

$$\dfrac{b}{s+b}$$

$$\dfrac{s(1-b)+5}{s(s+b)}$$

$$\dfrac{1}{s(s+b)}$$

$$\dfrac{s}{s+b}$$

$$\dfrac{1}{s}e^{-Ts}$$

$$\dfrac{1}{s^2}e^{-Ts}$$

$$\dfrac{1}{s}e^{Ts}$$

$$\dfrac{1}{s}e^{Ts}$$

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

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

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

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

$$\dfrac{s+2}{(s+2)^2+3^2}$$

$$\dfrac{s-2}{(s-2)^2+3^2}$$

$$\dfrac{s}{(s+2)^2+3^2}$$

$$\dfrac{s}{(s-2)^2+3^2}$$

$$\dfrac{s}{2(s^2+4)}-\dfrac{1}{2s}$$

$$\dfrac{1}{s^2}+\dfrac{4}{s}$$

$$e^{-2t}\cos t$$

$$\dfrac{1}{2s}+\dfrac{s}{2(s^2+4)}$$

① $\dfrac{1}{s^2-a^2}$ ②$\dfrac{1}{s^2-\omega^2}$

① $\dfrac{1}{s+a}$ ②$\dfrac{s}{s+\omega}$

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

① $\dfrac{1}{s+a}$ ②$\dfrac{1}{s-\omega}$

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

$$\dfrac{-s^2}{s^2+\omega^2}$$

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

$$\dfrac{-\omega^2}{s^2+\omega^2}$$

$$F(s)= \dfrac{1}{(s-a)^2}$$

$$F(s)= \dfrac{1}{s-a}$$

$$F(s)= \dfrac{1}{s(s-a)}$$

$$F(s)= \dfrac{1}{s(s-a)^2}$$

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

$$\dfrac{s}{s^2-a^2}$$

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

$$\dfrac{a}{s^2-a^2}$$

$$\dfrac{\omega \sin \theta}{s^2 + \omega^2}$$

$$\dfrac{\omega \cos \theta}{s^2 + \omega^2}$$

$$\dfrac{\cos \theta + \sin \theta}{s^2 + \omega^2}$$

$$\dfrac{\omega \cos \theta + s \sin \theta}{s^2 + \omega^2}$$

$$\dfrac{1}{s^2 + 4}$$

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

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

$$\dfrac{1}{(s + 4)^2}$$

$$1-e^{-t}$$

$$1+e^{-t}$$

$$\dfrac{1}{1-e^{-t}}$$

$$\dfrac{1}{1+e^{-t}}$$

$$\lim_{s \to 0} F(s)$$

$$\lim_{s \to \infty} sF(s)$$

$$\lim_{s \to \infty} F(s)$$

$$\lim_{s \to 0} sF(s)$$

0

1

2

8

2

3

3/2

2/3

2/5

1/5

2

-2

3, 0

4, 0

4, 2

3, 4

4

2

0.5

0.25

6

2

1

0

$$\dfrac{1}{T} \left( \dfrac{1-e^{Ts}}{s} \right)^2$$

$$\dfrac{1}{T} \left( \dfrac{1+e^{Ts}}{s} \right)^2$$

$$\dfrac{1}{s} \left( 1-e^{-Ts} \right)$$

$$\dfrac{1}{s} \left( 1+e^{Ts} \right)$$

$$\dfrac{1}{s}$$

$$\dfrac{e^{-as}}{s}$$

$$\dfrac{1+e^{-as}}{s}$$

$$\dfrac{1-2e^{-as}}{s}$$

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

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

$$\frac{E}{s}$$

$$\frac{E}{s^2}$$

$$\dfrac{1}{s} e^{bt}$$

$$\dfrac{1}{s} e^{-bt}$$

$$\dfrac{1}{s} (1-e^{-bs})$$

$$\dfrac{1}{s} (1+e^{bs})$$

$$\dfrac{2}{s}(1-e^{4s})$$

$$\dfrac{4}{s}(1-e^{2s})$$

$$\dfrac{2}{s}(1-e^{-4s})$$

$$\dfrac{4}{s}(1-e^{-2s})$$

$$\dfrac{1}{s}(e^{-as}+e^{-bs})$$

$$\dfrac{1}{s}(e^{-as}-e^{-bs})$$

$$\dfrac{1}{a-b}\left( \dfrac{e^{-as}+e^{-bs}}{s} \right)$$

$$\dfrac{1}{a-b}\left( \dfrac{e^{as}-e^{-bs}}{s} \right)$$

$$u(t)$$

$$u(t-a)$$

$$u(t+a)$$

$$-u(t-a)$$

$$\dfrac{1}{s}(e^{-as}-e^{-bs})$$

$$\dfrac{1}{s}(e^{as}+e^{bs})$$

$$\dfrac{1}{s^2}(e^{-as}-e^{-bs})$$

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

$$f(t) = u(t) - u(t-T) + u(t-2T)-u(t-3T)$$

$$f(t) = u(t) - 2u(t-T) + 2u(t-2T)-u(t-3T)$$

$$f(t) = u(t-T) - u(t-2T) + u(t-3T)$$

$$f(t) = u(t-T) -2 u(t-2T) + 2 u(t-3T)$$

$$1-2e^{-s}+e^{-2s}$$

$$s(1-2e^{-s}+e^{-2s})$$

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

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

$$\dfrac{E}{Ts^2}[1-(Ts+1)e^{-Ts}]$$

$$\dfrac{E}{Ts^2}[1+(Ts+1)e^{-Ts}]$$

$$\dfrac{E}{Ts^2}(Ts+1)e^{-Ts}$$

$$\dfrac{E}{Ts^2}(Ts-1)e^{-Ts}$$

$$\dfrac{2.5}{s^2}(1-e^{-2s}-2se^{-2s})$$

$$\dfrac{2.5}{s^2}(1-e^{-2s}-5se^{-2s})$$

$$\dfrac{2.5}{s^2}(1-e^{-2s}-se^{-2s})$$

$$\dfrac{2.5}{s^2}(1-e^{-2s}-e^{-2s})$$

$$\dfrac{a}{s} \left( \dfrac{1}{Ts} - \dfrac{e^{-Ts}}{1-e^{-Ts}} \right)$$

$$\dfrac{a}{s} \left( \dfrac{1-e^{-Ts}}{Ts} \right)$$

$$\dfrac{a}{s} \left( \dfrac{e^{-Ts}}{Ts} - \dfrac{1}{1-e^{-Ts}} \right)$$

$$\dfrac{a}{s} \left( 1 - \dfrac{a^{-Ts}}{1-e^{-Ts}} \right)$$

$$\dfrac{E\omega}{s^2+\omega^2} \left( 1-e^{- \dfrac{1}{2}Ts} \right)$$

$$\dfrac{Es}{s^2+\omega^2} \left( 1-e^{- \dfrac{1}{2}Ts} \right)$$

$$\dfrac{E\omega}{s^2+\omega^2} \left( 1+e^{- \dfrac{1}{2}Ts} \right)$$

$$\dfrac{Ts}{s^2+\omega^2} \left( 1+e^{- \dfrac{1}{2}Ts} \right)$$

$$E(1+e^{-Ts})$$

$$\dfrac{E}{(1-e^{-Ts})}$$

$$\dfrac{E}{s(1-e^{-Ts})}$$

$$\frac{E}{s \left(1-e^{\frac{-Ts}{2}} \right)}$$

$$ae^{At}$$

$$Ae^{at}$$

$$ae^{-At}$$

$$Ae^{-at}$$

$$e^{-a(t-b)}$$

$$e^{-a(t+b)}$$

$$e^{a(t-b)}$$

$$e^{a(t+b)}$$

$$2K_1+2K_2t$$

$$K_1t-3K_2t$$

$$K_1t+K_2te^{-3t}$$

$$K_1t-3K_2te^{-2t}$$

$$\delta(t) + e^{-t}(\cos 2t - \sin 2t)$$

$$\delta(t) + e^{-t}(\cos 2t +2 \sin 2t)$$

$$\delta(t) + e^{-t}(\cos 2t - 2\sin 2t)$$

$$\delta(t) + e^{-t}(\cos 2t + \sin 2t)$$

$$e^{-3t} \sin t$$

$$e^{-3t} \cos t$$

$$e^{-t} \sin 5t$$

$$e^{-3t} \sin 5 \omega t$$

$$f(t) = e^{-t}-e^{-2t}$$

$$f(t) = e^{-t}+e^{-2t}$$

$$f(t) = e^{-t}+2e^{-2t}$$

$$f(t) = e^{-t}-2e^{-2t}$$

$$e^{-t} \sin t$$

$$1+e^{-t}$$

$$1-e^{-t}$$

$$e^{-t} \cos t$$

$$2+3e^{-t}$$

$$3+2e^{-t}$$

$$3-2e^{-t}$$

$$2-3e^{-t}$$

$$\dfrac{1}{2}(1+e^t)$$

$$\dfrac{1}{2}(1-e^t)$$

$$\dfrac{1}{2}(1+e^{-2t})$$

$$\dfrac{1}{2}(1-e^{-2t})$$

$$e^{-t}-te^{-t}$$

$$e^{-t}+te^{-t}$$

$$1-te^{-t}$$

$$1+te^{-t}$$

$$\sin at$$

$$\dfrac{1}{a} \sin at$$

$$\cos at$$

$$\dfrac{1}{a} \cos at$$

$$e^{-t}-te^{-t}$$

$$e^{-t}+2te^{-t}$$

$$e^{t}-te^{-t}$$

$$e^{-t}+te^{-t}$$

(1)은 $e^{-t}, \quad e^{-\frac{t}{2}}$항을 가질 것이다.

(2)는 2중근을 가지므로 $te^{-t}$항을 가진다.

(3)은 분자가 분모보다 차수가 높으므로 $\delta(t)$를 포함한다.

(3)은 $s \to \infty$일 때 $\infty$가 되므로 역변환 적분은 불가능하다.

$$e^{-t}+te^{-t}+e^{-2t}$$

$$-e^{-t}+te^{-t}+e^{-2t}$$

$$e^{-t}-te^{-t}+e^{-2t}$$

$$e^{t}+te^{t}+e^{2t}$$

$$(3t-8)e^t + (t^2+t+8)$$

$$(3t-8)e^{-t} + (t^2+5t+8)$$

$$(3t-8)e^t + (t^2+5t+8)$$

$$(3t-8)e^{-t} + (t^2+t+8)$$

$$e^{-2t}\cos 3t$$

$$e^{-3t}\cos 2t$$

$$e^{3t}\cos 2t$$

$$e^{2t}\sin 3t$$

$$\dfrac{E}{R} \left( 1 - e^{- \frac{R}{L}t} \right)$$

$$\dfrac{E}{R} \left( 1 - e^{- \frac{L}{R}t} \right)$$

$$\dfrac{E}{R} e^{- \frac{L}{R}t}$$

$$\dfrac{E}{R} e^{- \frac{R}{L}t}$$

$$\dfrac{3s}{6s+1}$$

$$\dfrac{3}{6s+1}$$

$$\dfrac{6}{6s+1}$$

$$\dfrac{-s}{6s+1}$$

$$I(s) = \dfrac{V}{R} \dfrac{1}{s-\frac{1}{RC}}$$

$$I(s) = \dfrac{C}{R} \dfrac{1}{s+\frac{1}{RC}}$$

$$I(s) = \dfrac{V}{R} \dfrac{1}{s+\frac{1}{RC}}$$

$$I(s) = \dfrac{R}{C} \dfrac{1}{s-\frac{1}{RC}}$$

$$I(s) = \dfrac{Cs}{LCs^2+RCs+1}E_i(s)$$

$$I(s) = \dfrac{1}{LCs^2+RCs+1}E_i(s)$$

$$I(s) = \dfrac{LCs}{LCs^2+RCs+1}E_i(s)$$

$$I(s) = \dfrac{C}{LCs^2+RCs+1}E_i(s)$$

$$50e^{2t}(1+t)$$

$$e^{t}(1+5t)$$

$$\dfrac{1}{4}(1-e^{t})$$

$$50te^{-2t}$$

$$3 \cos \sqrt{3} t + \dfrac{4\sqrt3}{3} \sin \sqrt3 t$$