The step response of a linear circuit is (g(t)=100left[mathrm{e}^{-100}ight.) (left.{ }^{t} cos 2000 tight] u(t)). Find the

Question:

The step response of a linear circuit is $g(t)=100\left[\mathrm{e}^{-100}ight.$ $\left.{ }^{t} \cos 2000 tight] u(t)$. Find the circuit's impulse response $h(t)$, impulse response transform $H(s)$, step response transform $G($ $s$ ), and the circuit's transfer function $T(s)$.

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