Let a causal LTI system be governed by the following differential equation y(t) + \frac{1}{4}\frac{dy}{dt} = 2x(t) where x(𝑡) and y(𝑡) are the input and output respectively. Its impulse response is

Correct Answer is : 8e−4tu(t)

GATE Electrical Engineering (EE) 2022 Solved Paper

Question : 51 of 65

Marks: +1, -0

Let a causal LTI system be governed by the following differential equation

y(t) + \;{1}/{4}\;{dy}/{dt} = 2x(t)

where x(𝑡) and y(𝑡) are the input and output respectively.
Its impulse response is

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