Physics · Signals and Systems
Consider a continuous-time linear time-invariant (LTI) system described by the differential equation: d2y(t)/dt2 + 3 dy(t)/dt + 2 y(t) = x(t) where y(t) is the output and x(t) is the input. If the system is initially at rest, what is the zero-state response for the input x(t) = e-t u(t)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1y(t) = (-e-t + t e-t + e-2t) u(t)✓
- 2y(t) = (-et + t et + e2t) u(t)
- 3y(t) = (-et + t e-t + e-2t) u(t)
- 4y(t) = (-e-t + e-2t) u(t)
Correct answer
y(t) = (-e-t + t e-t + e-2t) u(t)
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Physics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Signals and Systems MCQs →Want more practice questions on Signals and Systems?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Physics · Signals and Systems