Question

Find the Laplace transform of the given function:
f(t) = { 0, if t < 1; t, if t ≥ 1 }

Answer 1

The Laplace transform of the given function is 0 for t < 1 and 1/s^2 for t ≥ 1.

Step-by-step explanation:

The Laplace transform of the given function can be found using the definition of the Laplace transform.

Laplace transform of f(t) = { 0, if t < 1; t, if t ≥ 1 }

The Laplace transform of the function 0 for t < 1 is 0.

The Laplace transform of the function t for t ≥ 1 is given by L{t} = 1/s^2, where s is the complex variable.

Therefore, the Laplace transform of the given function is:

L{f(t)} = 0, if t < 1; 1/s^2, if t ≥ 1