Question

What is inverse laplace transform of 1?

Answer 1

Inverse Laplace Transform of 1 is Dirac delta function , δ(t) also known as Unit Impulse Function.

Answer 2

Answer:

The inverse laplace transform of 1 is found to be dirac delta function,  $\delta (t)$ (or unit impulse function).

Step-by-step explanation:

We know the laplace transform of impulse signal/function (or dirac delta function), denoted by  $k\delta (t)$, is always calculated to be k, i.e., the coefficient of the signal representation (the amplitude of the impulse signal).

A unit impulse signal is an impulse signal with an amplitude of unity. Thus, the laplace transform of unit impulse signal will be unity or 1.

Thus, we can say that the inverse laplace transform of 1 is found to be unit impulse signal (or dirac delta function),  $\delta (t)$.