# Laplace Transform for Step function [Solved!]

**eltaleb** 28 Mar 2020, 17:11

### My question

How to find the Laplace transform of Heaviside function multiplied by derivative?

(dp/dt)*(1-U(t-a)).

dp/dt =Pressure derivative with respect to time.

a= constant.

U= is the step function.

### Relevant page

1a. The Unit Step Function - Definition

### What I've done so far

(dp/dt)(1-U(t-a))

X

How to find the Laplace transform of Heaviside function multiplied by derivative?
(dp/dt)*(1-U(t-a)).
dp/dt =Pressure derivative with respect to time.
a= constant.
U= is the step function.

Relevant page
<a href="/laplace-transformation/1a-unit-step-functions-definition.php">1a. The Unit Step Function - Definition</a>
What I've done so far
(dp/dt)(1-U(t-a))

## Re: Laplace Transform for Step function

**Murray** 29 Mar 2020, 06:02

@eitaleb: The derivative of a unit step function is an impulse function:

Derivative of unit step function

You'll find a section on finding the Laplace of it on this page:

Laplace Transform of Functions

X

@eitaleb: The derivative of a unit step function is an impulse function:
<a href="https://math.stackexchange.com/questions/1993827/derivative-of-unit-step-function">Derivative of unit step function</a>
You'll find a section on finding the Laplace of it on this page:
<a href="https://lpsa.swarthmore.edu/LaplaceXform/FwdLaplace/LaplaceFuncs.html">Laplace Transform of Functions</a>

## Re: Laplace Transform for Step function

**eltaleb** 29 Mar 2020, 19:44

I donβt need the derivation of step function.

What I have is derivative of pressure with respect to time multiplied by Step function. I want the Laplace of the whole term.

L { fβ(t) * (1-U(t-2))}

X

I don’t need the derivation of step function.
What I have is derivative of pressure with respect to time multiplied by Step function. I want the Laplace of the whole term.
L { f’(t) * (1-U(t-2))}

## Re: Laplace Transform for Step function

**Murray** 30 Mar 2020, 04:30

Ah, I see. Sorry, didn't read it carefully.

Anyone else like to chime in here?

X

Ah, I see. Sorry, didn't read it carefully.
Anyone else like to chime in here?

You need to be logged in to reply.