Laplace transform of $f\left(\frac{t - b}{a}\right)$

1. What is the Laplace transform of F t )= t?
2. What is T and S in Laplace transform?
3. What is the Laplace transform of T minus one by two?
4. What is the inverse Laplace transform of 1 /( S 4 )?

What is the Laplace transform of F t )= t?

Laplace transform of the function f(t) is given by F ( s ) = L f ( t ) = ∫ 0 ∞ ⁡ f ( t ) e − s t d t .

What is T and S in Laplace transform?

The Laplace transform is defined in Equation 2.1. (2.1) The function f(t) is a function of time, s is the Laplace operator, and F(s) is the transformed function.

What is the Laplace transform of T minus one by two?

(a) Lt−1/2=∫∞0e−stt−1/2dt.

What is the inverse Laplace transform of 1 /( S 4 )?

It is equivalent to 1(4−1)! lims→0∂4−1ets∂s4−1=13!