Finding the Laplace Transform of a Function with Heaviside Terms

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    Heaviside Laplace
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Homework Help Overview

The discussion revolves around finding the Laplace transform of a function that includes Heaviside terms. The original poster presents a function and seeks assistance in expressing it in terms of the Heaviside function and subsequently finding its Laplace transform.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants inquire about the original poster's attempts and request to see their work. There is a focus on the correct formulation of the function in terms of the Heaviside function, with specific attention to the inclusion of necessary terms.

Discussion Status

The discussion is ongoing, with participants awaiting the approval of an attachment that contains the original poster's work. Some guidance has been offered regarding the formulation of the function, but there is no explicit consensus on the correct approach yet.

Contextual Notes

There are constraints related to the approval of the attachment containing the function, and participants express concern about the clarity of communication due to the lack of mathematical symbols in the forum's template.

math_04
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Homework Statement



the function is with the attachment

The question is

(i) Express f(t) in terms of the Heaviside function and hence or otherwise find L(f(t)), the Laplace transform of f(t).

Homework Equations





The Attempt at a Solution



Everything is in the attachment. Please have a look and I would really appreciate it if you could give me the whole solution. I got an answer but not sure if it is right.
 

Attachments

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could you show us what you have done please?
 
You got to wait for the attachment to be approved. it takes a while...its a bit too long to write on the template plus i don't have the math symbols so it mite get a bit confusing
 
any hints or solution?
 
You restatement of f(t) in terms of the Heaviside function u(t-a) is incorrect. In particular there is supposed to be a u(t) term which does not appear anywhere in your solution.
 

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