engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Linear Time Invariant Systems Properties of LTI Systems
Consider a system with input x(t) and output y(t) related as follows.
\(y\left( t \right) = \frac{d}{{dt}}\left[ {{e^{ - t}}x\left( t \right)} \right]\)
Which one of the following statements is/are true?1
The system is non-linear
2
The system is time-invariant
3
The system is unstable
4
The system has memory