My Math Forum  

Go Back   My Math Forum > College Math Forum > Differential Equations

Differential Equations Ordinary and Partial Differential Equations Math Forum


Reply
 
LinkBack Thread Tools Display Modes
July 1st, 2017, 05:26 PM   #1
Newbie
 
Joined: Jun 2017
From: N/A

Posts: 4
Thanks: 0

Laplace transform

I don't know how the transform was determined from the solution that the book gave.
Attached Images
File Type: jpg forum pic 4.jpg (12.2 KB, 7 views)
bdewbac is offline  
 
July 1st, 2017, 07:25 PM   #2
Senior Member
 
Joined: Feb 2016
From: Australia

Posts: 1,320
Thanks: 450

Math Focus: Yet to find out.
There may be a quicker way with some tricky substitution or something, but i haven't looked at it for very long.

But you can just work through the algebra for this. You will end up with a bunch of similar terms which will likely factor out and result in the above equation. Nothing new here that i can see.
Joppy is online now  
July 3rd, 2017, 08:18 PM   #3
jks
Senior Member
 
jks's Avatar
 
Joined: Jul 2012
From: DFW Area

Posts: 603
Thanks: 83

Math Focus: Electrical Engineering Applications
Hi bdewbac,

I worked the problem using the delay ($t$ shift) property of the Laplace Transform:

$\displaystyle \large f(t-t_0) \ u(t-t_0) \Leftrightarrow e^{-st_0}F(s)$

Since:

$\displaystyle \large t \ u(t) \Leftrightarrow \frac{1}{s^2}$

Then, for example:

$\displaystyle \large 10 \ (t-2) \ u(t-2) \Leftrightarrow 10 \frac{e^{-2s}}{s^2}$

I hope that this helps.
jks is offline  
Reply

  My Math Forum > College Math Forum > Differential Equations

Tags
laplace, transform



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Laplace transform MMath Elementary Math 7 May 29th, 2016 04:23 AM
Need help with laplace transform shail1991 Calculus 0 June 10th, 2015 11:46 AM
Relatioship between Laplace and Inverse Laplace Transform from tables szz Differential Equations 1 November 2nd, 2014 03:18 AM
Laplace Transform wastedhippo Calculus 3 September 29th, 2014 03:42 PM
Laplace tranform and inverse of Laplace transform Deiota Calculus 1 April 28th, 2013 10:28 AM





Copyright © 2017 My Math Forum. All rights reserved.