Inverse Transformations of ODEs

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Homework Help Overview

The discussion revolves around the inverse transformations of ordinary differential equations (ODEs) using Laplace transforms. The original poster presents a function F(s) and expresses uncertainty in solving the problem.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the use of Laplace transforms and the application of partial fractions. The original poster questions their approach to simplifying the function and expresses confusion about the transformation process.

Discussion Status

Some guidance has been offered regarding the use of partial fractions and reference materials, but multiple interpretations of the problem are being explored without explicit consensus on the next steps.

Contextual Notes

The original poster indicates a lack of clarity in their understanding and the absence of specific equations that might aid in their solution process.

kikko
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Homework Statement



F(s) = s/((s-1)(s^2+1))

F(s) = (s/(s^2+4s+5))(e^(-3s))


Homework Equations



Don't believe there are any.

The Attempt at a Solution



Not particularly sure. I can solve ((s-2)(e^-s))/(s^2-4s+3), but seem to be having problems with these.
 
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Are you referring to Laplace transforms?
 
Yes. I started the second by making the bottom more condensed and finding a G(s) separate of F(s), but am stuck here.
 
My advice is to use partial fractions on:
<br /> \frac{s}{s^{2}+4s+5}<br />
and use a look up table.
 

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