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Solving PDEs with the Laplace Transform - The Wave Equation

Solving PDEs with the Laplace Transform - The Wave Equation

Steve Brunton via YouTube Direct link

The Heaviside Function

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The Heaviside Function

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Solving PDEs with the Laplace Transform - The Wave Equation

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  1. 1 Overview and Problem Setup Initial Conditions and Boundary Conditions
  2. 2 Laplace Transform in Time: PDE to ODE
  3. 3 Solving the ODE in Space
  4. 4 General Solution of the Wave Equation
  5. 5 The Heaviside Function
  6. 6 Illustration and Method of Characteristics

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