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Laplace Transform

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The Laplace transform is an integral transform perhaps second only to the Fourier transform in its utility in solving physical problems. The Laplace transform is particularly useful in solving linear ordinary differential equations such as those arising in the analysis of electronic circuits.

Laplace transform is a college-level concept that would be first encountered in a differential equations course.

Prerequisites

Convolution: Convolution is the integral transform that expresses the amount of overlap of one function g as it is shifted over another function f.
Integral: An integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals and derivatives are the fundamental objects of calculus.

Classroom Articles on Differential Equations (Up to College Level)

  • Bessel Function of the First Kind
  • Partial Differential Equation
  • Differential Equation
  • Second-Order Ordinary Differential Equation
  • Euler Forward Method
  • Separation of Variables
  • Fourier Transform
  • Slope Field
  • Ordinary Differential Equation