Register to reply

Inverse Laplace Transformation of arctan (s/2)

by nileszoso
Tags: arctan, inverse, laplace, s or 2, transformation
Share this thread:
Nov9-12, 05:11 PM
P: 3
The Title pretty much says it all. I'm trying to learn how to solve the Inverse Laplace Transformation of Arctan(s/2). An equation of this sort was not explicitly covered in class and I'm having difficulty figuring where to start to solve it. If anyone could give me a general idea that would point me in the right direction that would be greatly appreciated.

Thanks in advance
Phys.Org News Partner Science news on
Scientists discover RNA modifications in some unexpected places
Scientists discover tropical tree microbiome in Panama
'Squid skin' metamaterials project yields vivid color display
Nov9-12, 08:26 PM
P: 3
The derivative of arctan(t)=1/(t^2+1). Differentiation in time-domain is the same as multiplication by s in Laplace-domain. See for a table. You should be able to derive the correct answer from this.
Nov10-12, 02:25 PM
P: 3
Thank you! This helped, although I'm still not sure what exactly is meant by "Differentiation in time-domain is the same as multiplication by s in Laplace-domain. " But like I said this got my started on the way to solve the problem.

Nov18-12, 03:59 AM
P: 761
Inverse Laplace Transformation of arctan (s/2)

Hi nileszoso!

A classical method to compute the inverse Laplace transform is the use of the Bromwich integral. In the case of arctan(s/2) this leads to ardous calculus with special functions.
Moreover, the inverse Laplace Transform of arctan(s) doesn't appears in some extended tables. So, it is questionable whether there is really a solution which can be expressed with not too complicated combinations of standard functions.
Where this problem is coming from ?

Register to reply

Related Discussions
Inverse Laplace transformation Calculus & Beyond Homework 2
Inverse Laplace Transformation of Inverse Tan function Calculus & Beyond Homework 1
Inverse Laplace Transformation General Math 0
Inverse Laplace Transformation Calculus 3
Inverse Laplace Transformation Calculus & Beyond Homework 12