Physics I / Laplace Transforms
Practice question · Select all that apply

Which properties does the Laplace transform have?

Hints
  1. Check each claimed property against the transform's integral definition.
  2. Products in time do not become products in the transform domain.
Show the answer
  • A. L{f'(t)} = sF(s) − f(0)f(0)
  • B. Linearity: L{af+bg} = aL{f}+bL{g}
  • D. L{eatf(t)e^{at} f(t)} = F(sa)F(s-a) (frequency shift)
Why

The transform of a product is a convolution, not a simple product.

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