Practice Applications of Inverse Laplace Transform - 12.5 | 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

What does the Inverse Laplace Transform do?

πŸ’‘ Hint: Think about converting from frequency to time domain.

Question 2

Easy

What is the ILT of 1/sΒ²?

πŸ’‘ Hint: Consider the basic pair for your reference.

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 main purpose of the Inverse Laplace Transform?

  • To convert functions back to time domain.
  • To differentiate functions.
  • To integrate functions.

πŸ’‘ Hint: Consider what transformation you perform after the Laplace Transform.

Question 2

True or False: The Convolution Theorem is used to compute the ILT of a sum of functions.

  • True
  • False

πŸ’‘ Hint: Focus on the operations involved with the theorem.

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Challenge Problems

Push your limits with challenges.

Question 1

Given F(s)=2/(s^2+4), use the Partial Fraction Method to find Lβˆ’1{F(s)}.

πŸ’‘ Hint: Be cautious with the coefficients and factoring.

Question 2

Using the Convolution Theorem, find the inverse Laplace of F(s) = (s+1)/(s^2+1)(s^2+4).

πŸ’‘ Hint: Remember to integrate the product of the ILTs.

Challenge and get performance evaluation