Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of natural response in LTI systems?
💡 Hint: Think about how systems react without external force.
Question 2
Easy
What is the homogeneous solution?
💡 Hint: Consider what happens in a system in isolation.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What describes the natural response of a system?
- It's the response due to input.
- It doesn't depend on the initial conditions.
- It's the response due to initial conditions only.
💡 Hint: Recall the scenario with zero input.
Question 2
Is the transient response permanent?
- True
- False
💡 Hint: Think about how things settle in a system.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a second-order LTI system with differential equation d^2y/dt^2 + 3dy/dt + 2y = 0, derive the natural response assuming initial conditions y(0)=1 and y'(0)=0.
💡 Hint: Remember to plug in initial conditions into your derived expression.
Question 2
For a given LTI system with a characteristic equation yielding complex roots, describe the resulting transient response.
💡 Hint: Relate the behavior of complex roots to oscillation and stability.
Challenge and get performance evaluation