🛠️ Steven Gong

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Feb 25, 2024, 1 min read

Initial Value Theorem (IVT)

Theorem 2: Initial Value theorem

If f(t) is piecewise-continuous and ∫0∞​∣f(t)∣e−αtdt converges for some α∈R then

f(0+)=lims→+∞​sF(s)

Related

  • Initial Value Problem
  • Final Value Theorem

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Backlinks

  • Final Value Theorem (FVT)
  • MATH213 - Signals, Systems, and Differential Equations
  • Piecewise Continuous

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