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Identify the Laplace function of the given function.

1) e⁽⁻²ˢ⁾
2) e⁽⁻³ˢ⁾
3) e⁽⁻⁴ˢ⁾
4) e⁽⁻⁵ˢ⁾

1 Answer

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Final answer:

The Laplace transform of the given functions is found by applying the definition of the Laplace transform.

Step-by-step explanation:

The Laplace transform of the given functions can be found by applying the definition of the Laplace transform. The Laplace transform of the function f(t) = e^(-ks) is given by F(s) = L{e^(-ks)} = 1 / (s + k), where s is the Laplace variable.

  1. For the function e^(-2s), the Laplace transform is 1 / (s + 2).
  2. For the function e^(-3s), the Laplace transform is 1 / (s + 3).
  3. For the function e^(-4s), the Laplace transform is 1 / (s + 4).
  4. For the function e^(-5s), the Laplace transform is 1 / (s + 5).

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