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Linear Systems of Differential Equations with Forcing - Convolution and the Dirac Delta Function

Linear Systems of Differential Equations with Forcing - Convolution and the Dirac Delta Function

Steve Brunton via YouTube Direct link

Case 1: Initial condition response with no forcing

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Case 1: Initial condition response with no forcing

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Linear Systems of Differential Equations with Forcing - Convolution and the Dirac Delta Function

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  1. 1 Overview
  2. 2 Case 1: Initial condition response with no forcing
  3. 3 The Dirac delta function
  4. 4 Case 2: Impulse response for delta function input
  5. 5 Case 3: Impulse response with an initial condition
  6. 6 Convolution integral for arbitrary forcing ut

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