What Is the Inverse Laplace Transform of Y(s)/(s+1)?

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Homework Help Overview

The discussion revolves around finding the inverse Laplace transform of the expression Y(s)/(s+1) and its relation to a differential equation. Participants are exploring the implications of this transform in the context of Laplace equations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the interpretation of the inverse Laplace transform and its connection to differential equations. There is a question about the correctness of an initial assumption regarding the transform's result, and clarification is sought regarding the original problem context.

Discussion Status

The discussion is ongoing, with participants providing insights and seeking clarification on the relationship between the Laplace transform and the corresponding differential equation. Some guidance has been offered regarding the convolution interpretation, but there is no explicit consensus on the correctness of the initial answer.

Contextual Notes

There is mention of the need to identify the differential equation that corresponds to the given Laplace transform, which adds complexity to the discussion. Participants are also navigating the rules regarding communication about homework questions.

rforrevenge
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Homework Statement



What is the inverse Laplace transform of Y(s)/(s+1) ?

Homework Equations





The Attempt at a Solution



I think it is e^(-t) * y(t). Am i right?
 
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If * denotes convolution then you're right.
 
I'm posting your PM here because it's against PF rules to address homework (or homework-type) questions by PM:

rforrevenge said:
First of all thank you for taking the time to answer my question.The Y(s)/s+1 is a part of a Laplace equation and i have to find out which is the DE that gave that Laplace equation.So i inverse-Laplace the given equation to find the DE. My answer is still correct right?

Thank you and sorry for bothering you,
Rforrevenge

P.S:Sorry for my bad English

With regards to the above, I don't think I can answer it definitively because I don't know what is the original question, so clearly I can't tell if you are right.
 
the original question is that i have to find the DE of that Laplace transform
s*Y(s)+Y(s)/s+1=X(s)
 

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