Hi Aspirant,

The condition for existence of Laplace transform is that The function f(x) is said to have exponential order if there exist constants M, c, and n such that |f(x)| ≤ Mecx for all x ≥ n. f(x)e−px dx converges absolutely and the Laplace transform L[f(x)] exists. |f(x)| dx will always exist, so we automatically satisfy criterion.

Hope it helps!!

Dear Student,

the following is the condition required to be achieved for the existence of Laplace transformation,

The function f(x) is said to have exponential order if there exist constants M, c, and n such that |f(x)| ≤ Mecx for all x ≥ n.

f(x)e−px dx converges absolutely and the Laplace transform L[f(x)] exists.

|f(x)| dx will always exist, so we automatically satisfy criterion (I).