The step response of a linear circuit is (g(t)=0.5) [1(left.e^{-250 t}ight] u(t)). Find the output waveform when

Question:

The step response of a linear circuit is $g(t)=0.5$ [1$\left.e^{-250 t}ight] u(t)$. Find the output waveform when the input is $v_{1}($ $t)=\left[20 e^{-200 t}ight] u(t)$. Use MATLAB to find the Laplace transforms of $g(t)$ and $v_{1}(t)$. Then find $V_{2}(s)$. Finally, use the inverse Laplace function to find the waveform $v_{2}(t)$ and plot the results.

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