Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the Laplace Transform of f(t) = t?
💡 Hint: Use the basic formula of Laplace Transform.
Question 2
Easy
Write the formula for L{f'(t)}.
💡 Hint: Recall the transformation equation discussed.
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 Laplace Transform of f'(t)?
- sF(s) + f(0)
- sF(s) - f(0)
- 0
💡 Hint: Remind yourself of the transformation formulas.
Question 2
True or False: The Laplace Transform can only be used for first derivatives.
- True
- False
💡 Hint: Think about the different orders of derivatives we've covered.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given f(t) = e^{at} sin(bt), find the Laplace Transform using properties of derivatives implicitly.
💡 Hint: Use the formula for the Laplace Transform of functions multiplied by an exponential.
Question 2
Prove the formula for L{f(n)(t)} = s^nF(s) - Σ from k=0 to n-1 of s^{n-1-k} f^(k)(0).
💡 Hint: Work step-by-step through the integrations as shown in the previous examples.
Challenge and get performance evaluation