2.2 - Definition of Laplace Transform
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Practice Questions
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Find the Laplace Transform of f(t) = 5.
💡 Hint: Use the basic Laplace Transform rule.
What is the Laplace Transform of sin(t)?
💡 Hint: Refer to the known formula for sin.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Laplace Transform do?
💡 Hint: Think about the benefits it provides in solving equations.
True or False: The Laplace Transform of a sum of functions is equal to the sum of their individual Laplace Transforms.
💡 Hint: Recall the definition of linearity in mathematics.
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Challenge Problems
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A function f(t) = 5t^3 - 4cos(3t) + 2e^(-2t) is given. What is its Laplace Transform?
💡 Hint: Break down each component and use the respective formulas.
If f(t) = t*sin(t) + e^(3t) + 6, what is its Laplace Transform?
💡 Hint: You’ll need to apply integration by parts for the first term.
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