Laplace Transform Basics

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Questions and Answers

What is the Laplace transform used for in science and engineering?

  • Solving linear differential equations (correct)
  • Converting algebraic equations to differential equations
  • Solving quadratic equations
  • Converting complex variables to real variables

Who is the Laplace transform named after?

  • Pierre-Simon Laplace (correct)
  • Thomas Bromwich
  • Niels Henrik Abel
  • Mathias Lerch

What did Laplace write extensively about in 1814?

  • Generating functions (correct)
  • Convolution
  • Algebraic equations
  • Probability theory

Who further developed the theory of the Laplace transform in the 19th and early 20th centuries?

<p>All of the above (D)</p> Signup and view all the answers

When did the widespread use of the Laplace transform in engineering come about?

<p>During and soon after World War II (A)</p> Signup and view all the answers

What is the Laplace transform used for in mathematics?

<p>Converting functions of a real variable into a function of a complex variable (B)</p> Signup and view all the answers

Who is the Laplace transform named after?

<p>Pierre-Simon Laplace (B)</p> Signup and view all the answers

What is the Laplace transform similar to in Laplace's work on probability theory?

<p>Generating functions (B)</p> Signup and view all the answers

When did the widespread use of the Laplace transform in engineering come about?

<p>During and soon after World War II (C)</p> Signup and view all the answers

Who further developed the theory of the Laplace transform in the 19th and early 20th centuries?

<p>Thomas Bromwich (C)</p> Signup and view all the answers

Which mathematician and astronomer is the Laplace transform named after?

<p>Pierre-Simon Laplace (B)</p> Signup and view all the answers

What type of equations does the Laplace transform help to solve?

<p>Linear differential equations (D)</p> Signup and view all the answers

Who gave little attention to the continuous variable case of the Laplace transform?

<p>Pierre-Simon Laplace (D)</p> Signup and view all the answers

Which integral transform converts a function of a real variable to a function of a complex variable?

<p>Laplace transform (A)</p> Signup and view all the answers

Which mathematician wrote extensively about the use of generating functions and contributed to the evolution of the integral form of the Laplace transform?

<p>Pierre-Simon Laplace (B)</p> Signup and view all the answers

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