in Others edited by
2 views
0 votes
0 votes

GATE ECE 2010 | Question-41

A continuous time LTI system is described by
\[ \frac{d^{2} y(t)}{d t^{2}}+4 \frac{d y(t)}{d t}+3 y(t)=2 \frac{d x(t)}{d t}+4 x(t) \]
Assuming zero initial conditions, the response $y(t)$ of the above system for the input $x(t)=e^{-2 r} u(t)$ is given by

  1. $\left(e^{t}-e^{3r)}\right) u(t)$
  2. $\left(e^{-t}-e^{-3 r}\right) u(t)$
  3. $\left(e^{-t}+e^{-3r}\right) u(t)$
  4. $\left(e^{t}+e^{3 r}\right) u(t)$
in Others edited by
by
32.7k points
2 views

Please log in or register to answer this question.

Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.