Practice Definition - 12.2 | 12. Inverse Laplace Transform | Mathematics - iii (Differential Calculus) - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is L⁻¹{1/s}?

💡 Hint: Consider what function remains constant over time.

Question 2

Easy

What does L⁻¹{1/s²} yield?

💡 Hint: This represents linear growth over time.

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 inverse of L{f(t)} = F(s)?

  • f(t)
  • F(s)
  • L⁻¹{F(s)}

💡 Hint: Think about what the operation denotes.

Question 2

True or False: The Inverse Laplace Transform only works for polynomial F(s).

  • True
  • False

💡 Hint: Remember other function types learned in class.

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Challenge Problems

Push your limits with challenges.

Question 1

Find L⁻¹{(s + 2)/(s² + 3s + 2)}. Demonstrate utilizing partial fractions.

💡 Hint: Start with the quadratic denominator.

Question 2

Apply the Convolution Theorem for two functions: f(t)=t and g(t)=e^(-2t). What is the resulting function?

💡 Hint: Utilize the convolution integral format and integrate accordingly.

Challenge and get performance evaluation