Practice Special Case: δ(t) - 10.2.2 | 10. The Dirac Delta Function (Impulse Function) | Mathematics - iii (Differential Calculus) - Vol 1
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10.2.2 - Special Case: δ(t)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the Dirac Delta Function model?

💡 Hint: Think about sudden changes.

Question 2

Easy

What is the value of the Laplace Transform of δ(t)?

💡 Hint: Consider what happens when a = 0.

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 value of the Laplace Transform of δ(t - 2)?

  • e^(-2s)
  • 1
  • 0

💡 Hint: Think of the general formula for the delta function.

Question 2

True or False: The Dirac Delta Function can be considered a true function.

  • True
  • False

💡 Hint: Consider its behavior at points of interest.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove the Laplace Transform of δ(t) using integration.

💡 Hint: Start from the definition of the Laplace Transform.

Question 2

Using a system described by dy/dt + 2y = δ(t - 3), solve for y(t) using the Laplace Transform.

💡 Hint: Use the shifting property and remember to apply inverse transformations.

Challenge and get performance evaluation