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

Correct Answer is : 2 e-3t u(t)

GATE Electrical Engineering (EE) 2023 Solved Paper

Question : 17 of 65

Marks: +1, -0

A continuous-time system that is initially at rest is described by

\;{dy(t)}/{dt} + 3y(t) = 2x(t)

,
where 𝑥(𝑡) is the input voltage and 𝑦(𝑡) is the output voltage. The impulse response of the system is

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