Question

Identify the Laplace function of the given function.

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

Answer 1

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).