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GATE Electrical 2023 | Question-7

\begin{tabular}{|l|l|}
\hline Q.17 & $\begin{array}{l}\text { A continuous-time system that is initially at rest is described by } \\
\qquad \frac{d y(t)}{d t}+3 y(t)=2 x(t), \\
\text { where } x(t) \text { is the input voltage and } y(t) \text { is the output voltage. The impulse response } \\
\text { of the system is }\end{array}$ \\
\hline

  1. & $3 e^{-2 t}$ \\
    \hline
  2. & $\frac{1}{3} e^{-2 t} u(t)$ \\
    \hline
  3. & $2 e^{-3 t} u(t)$ \\
    \hline
  4. & $2 e^{-3 t}$ \\
    \hline
    \end{tabular}
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