Problem 예제.

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$\dfrac{X(s)}{Y(s)}=\dfrac{2}{(s+1)^2}$ 의 전달 함수를 미분 방정식으로 표시하면?

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$y(t)=2 \dfrac{dx(t)}{dt}+x(t)+\int x(t)dt$

$y(t)=\dfrac{dx(t)}{dt}+x(t)+1$

$2x(t)=\dfrac{d^2y(t)}{dt^2}+2\dfrac{dy(t)}{dt}+y(t)$

$y(t)=\dfrac{1}{2} \dfrac{d^2x(t)}{dt^2}+\dfrac{dx(t)}{dt}+\dfrac{1}{2}x(t)$