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

12.3 - Basic Inverse Laplace Transforms

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 Hint: Think of basic pairs.

Question 2 Easy

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

💡 Hint: Consider the function and derivatives.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

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

1
t
e^{-t}

💡 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

💡 Hint: Consider the meaning of convolution.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Split into fractions to simplify the function.

Challenge 2 Hard

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

💡 Hint: Keep track of limits and ensure correct integration.

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