Laplace Transform of Delta Function

digipony
Messages
35
Reaction score
0

Homework Statement


Evaluate the Laplace transform: L{δ(t-∏)tan(t)}


Homework Equations





The Attempt at a Solution


L{δ(t-∏)tan(t)} = ∫ δ(t-∏)tan(t) dt evaluated from 0 to ∞
=tan(∏)e-∏*s
= 0

Could someone check my work on this one? I'm suspicious that my transform is just zero. Thanks!
 
Physics news on Phys.org
You omitted the e^(-st) factor in the definition of the Laplace transform, but sure, 0 is correct.
 
Oops-Typing error. Thanks! :)
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

What is the Inverse Laplace Transform of e^(-sx^2/2)?
Replies
10
Views
2K
Mellin transform of Dirac delta function ##\delta(t-a)##
Replies
3
Views
3K
Laplace transform of cosine squared function
Replies
1
Views
1K
Determine limits of integration in double integral change of variables
Replies
2
Views
1K
Does the Laplace Transform of e^(at)/t Exist?
Replies
4
Views
2K
Finding the Laplace transform of a piecewise function
Replies
3
Views
1K
Laplace transform of an ODE with a non-smooth forcing function
Replies
2
Views
2K
Laplace transform applied to a differential equation
Replies
1
Views
1K
A tricky inverse Laplace transform
Replies
8
Views
2K
Sifting property of a Dirac delta inverse Mellin transformation
Replies
31
Views
4K

Hot Threads

Recent Insights

Back
Top