7.7 - Proof (for n=1)
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
What is the Laplace Transform of 1?
💡 Hint: Think of the integral from 0 to infinity.
What is L{t}?
💡 Hint: Remember the basic derivatives.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of L{t * f(t)}?
💡 Hint: Consider the relationship from the formula.
The alternating sign in the multiplication property comes from:
💡 Hint: Think about differentiation rules.
1 more question available
Challenge Problems
Push your limits with advanced challenges
If L{f(t)} = sin(t), compute L{t * f(t)} and provide step-by-step justification.
💡 Hint: Follow through the differentiation carefully.
For the function e^{-t} f(t) = e^{-t} * t^2, find the Laplace Transform and express using multiplication property.
💡 Hint: Carefully differentiate according to the rules.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.