Laplace transform solve integral equation

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Homework Help Overview

The discussion revolves around solving an integral equation using the Laplace transform, specifically focusing on the function y(t) and its relationship with t^4 and sin(t).

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss algebraic manipulation of the Laplace transform equation, particularly how to isolate L{y}. There are questions about the steps needed to reverse transform and achieve the correct answer.

Discussion Status

Some participants are exploring different algebraic approaches to rearranging the equation, while others express uncertainty about the next steps. One participant indicates they have found clarity in the discussion.

Contextual Notes

There is a mention of a specific answer provided, but the participants are focused on the process rather than confirming the solution. The original poster expresses a need for advice on how to proceed further.

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Homework Statement



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Homework Equations


The Attempt at a Solution



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The answer is y(t) = t^{4}+\frac{t^{6}}{30}

Don't know what to do next any advices please
 
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solve algebraically for L{y}

L{y}=L{t^4}+L{y}L{sin(t)}
 
lurflurf said:
solve algebraically for L{y}

L{y}=L{t^4}+L{y}L{sin(t)}

u meant put L{y} to the same side and then reverse transform? I'm try that way but still didnt get that answer
 
lurflurf said:
solve algebraically for L{y}

L{y}=L{t^4}+L{y}L{sin(t)}

Thanks lurflurf I got it now :)
 

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