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.

Professionals

Professional Courses

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

Games

Interactive Games

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

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is L−1 {1/s}?

💡 Hint: Think of basic Laplace pairs.

Question 2

Easy

What is L−1 {1/s²}?

💡 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 L−1 perform?

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

💡 Hint: Focus on the inverse nature of the function.

Question 2

Is the Inverse Laplace Transform useful in engineering?

  • True
  • False

💡 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.

💡 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.

💡 Hint: Focus on forces resulting in motion affected by a resistance factor.

Challenge and get performance evaluation