Determine the Laplace transform of the following integrals

Sinead Mcgee
2021-09-03
Answered

Determine the Laplace transform of the following integrals

You can still ask an expert for help

jlo2niT

Answered 2021-09-04
Author has **96** answers

We know that , if

then

Here we have

so

Since , if

so it we take

and hence

Then

asked 2021-02-04

Find the inverse Laplace transforms of the functions given. Accurately sketch the time functions.

a)$F(s)=\frac{3{e}^{-2s}}{s(s+3)}$

b)$F(s)=\frac{{e}^{-2s}}{s(s+1)}$

c)$F(s)=\frac{{e}^{-2s}-{e}^{-3s}}{2}$

a)

b)

c)

asked 2021-10-02

Find the general solution of the given differential equation.

$y-2y-3y=-3te-t-2y-3y=-3te-t$

asked 2021-12-29

Half-life of a DNA of an extinct moa is 521 years. A 1 mg sample was estimated to be 6000 years old. Determine the initial amount of the DNA sample.

asked 2021-03-05

Find the inverse Laplace Tranformation by using convolution theorem for the function $\frac{1}{{s}^{3}(s-5)}$

asked 2022-01-21

Let $P}_{n$ be group of all permutations of the set $\{1,\dots ,n\}$ . I have trouble with construction a Lipschitz function $f:{P}_{n}\to R$ .

asked 2021-09-10

find the given inverse Laplace transform

asked 2021-12-26

Find that solution of ${y}^{\prime}=2(2x-y)$ which passes through the point (0, 1).