engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Linear Time Invariant Systems Continuous Time LTI Systems
Let a causal LTI system be governed by the following differential equation
\(\rm y(t) + \frac{1}{4} \frac{dy}{dt} = 2x(t)\) where x(𝑡) and y(𝑡) are the input and output respectively.
Its impulse response is
1
\(\rm 2e^\left( - \frac{1}{4} t \right) u(t)\)
2
\(\rm 2e^{-4t} u(t)\)
3
\(\rm 8e^ {- \frac{1}{4} t} u(t)\)
4
\(\rm 8e^{-4t} u(t)\)