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Laplace transform when applied to function, changes that function into new function by using a process that involves

  • A.integration
  • B.differentiation
  • C.binary manipulation
  • D.logical manipulation

Answer: A

The Laplace transform is defined by an integral:

\[ F(s) = \int_{0}^{\infty} e^{-st}f(t)\,dt \]

The function of \( t \) is multiplied by \( e^{-st} \) and integrated over all positive time, producing a new function of \( s \). Its power comes from turning differentiation in \( t \) into multiplication in \( s \).

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