Practice Inverse Laplace Transform - 12.1 | 12. Inverse Laplace Transform | Mathematics - iii (Differential Calculus) - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is Lβˆ’1 {1/s}?

πŸ’‘ Hint: Think of basic Laplace pairs.

Question 2

Easy

What is Lβˆ’1 {1/sΒ²}?

πŸ’‘ Hint: Recall the relationship between s and time functions.

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 does Lβˆ’1 perform?

  • Converts time to frequency
  • Retrieves time-domain from frequency domain
  • Both A and B

πŸ’‘ Hint: Focus on the inverse nature of the function.

Question 2

Is the Inverse Laplace Transform useful in engineering?

  • True
  • False

πŸ’‘ Hint: Think about applications in control systems.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given F(s) = (2)/(s^2 + 2s + 2), find the inverse Laplace transform.

πŸ’‘ Hint: Look at how the form relates to s^2 + a^2.

Question 2

Compose a differential equation that can be solved using the Inverse Laplace Transform involving damping forces in mechanical systems.

πŸ’‘ Hint: Focus on forces resulting in motion affected by a resistance factor.

Challenge and get performance evaluation