GATE EE 2022 Set 1 — Question 46

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MCQ+2 / -0.67EasyImpulse Response & ConvolutionLTI SystemsSignals & SystemsInverse Laplace TransformLaplace & Z Transforms

Signals & Systems → Laplace & Z Transforms → Impulse Response & Convolution

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Question

Let a causal LTI system be governed by the following differential equation
y(t)+14dydt=2x(t)y(t) + \frac{1}{4} \frac{dy}{dt} = 2x(t), where x(t)x(t) and y(t)y(t) are the input and output respectively.
Its impulse response is
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