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A continuous-time system that is initially at rest is described by 
$$ \frac{d y(t)}{d t}+3 y(t)=2 x(t),$$ 
where$x(t)$ is the input voltage and $y(t)$ is the output voltage. The impulse response of the system is 

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

     

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