Practice Basic Inverse Laplace Transforms - 12.3 | 12. Inverse Laplace Transform | Mathematics - iii (Differential Calculus) - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Find the inverse Laplace transform of F(s) = 1/s.

πŸ’‘ Hint: Think of basic pairs.

Question 2

Easy

What is the inverse Laplace transform of F(s) = 1/s^2?

πŸ’‘ Hint: Consider the function and derivatives.

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 is the inverse Laplace transform of F(s) = 1/s?

  • 1
  • t
  • e^{-t}

πŸ’‘ Hint: Refer to fundamental pairs.

Question 2

True or False: The Convolution Theorem can be applied to find the inverse of a product of Laplace transforms.

  • True
  • False

πŸ’‘ Hint: Consider the meaning of convolution.

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Challenge Problems

Push your limits with challenges.

Question 1

Derive the inverse Laplace transform of F(s) = (2s + 3)/(s^2 + 4). Use multiple methods.

πŸ’‘ Hint: Split into fractions to simplify the function.

Question 2

Using the Convolution Theorem, calculate the response function for the product of two transforms.

πŸ’‘ Hint: Keep track of limits and ensure correct integration.

Challenge and get performance evaluation