Solving partial differential equation with Laplace

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Homework Help Overview

The discussion revolves around solving a partial differential equation (PDE) using the Laplace transform method. The original poster shares an attempt at the solution but indicates they have encountered difficulties at a certain step.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants question the clarity of the problem statement and the relevance of certain background information. There are suggestions for the original poster to provide a clearer description of their work and the problem. Some participants inquire about the initial conditions and whether the Laplace method is necessary for this problem.

Discussion Status

The discussion is ongoing, with participants providing guidance on how to present the problem more clearly. There is an acknowledgment of the initial conditions provided by the original poster, and a focus on whether the chosen method is appropriate for the problem at hand.

Contextual Notes

There are indications that the original poster's problem statement may lack sufficient detail, and some participants express confusion regarding the context and terminology used. The requirement to solve the problem using the Laplace method is noted.

Aows
Member advised to show problem statement and work directly in thread, not in an image

Homework Statement


am trying to solve this PDE (as in the attached picture) https://i.imgur.com/JDSY4HA.jpg also my attempt is included, but i stopped in step, can you help me with it?

appreciated,

Homework Equations

The Attempt at a Solution


my attempt is the same as in the attached picture:
https://i.imgur.com/JDSY4HA.jpg
 
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"are plate with sides of unit length ..." is not a problem statement...
who is kekce ?

Please read the guidelines and type out what you did...
 
BvU said:
"are plate with sides of unit length ..." is not a problem statement...
who is kekce ?

Please read the guidelines and type out what you did...
I didn't understand your reply!
 
Aows said:
I didn't understand your reply!
now i understand your reply,
no, ""plate with unit length""is not part of the question, is it just a background paper.
 
BvU said:
who is kekce ?
I believe this says "laplace".
 
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@Aows, I second the recommendation that you type out your problem and work. This will make it easier for us to follow your work and provide assistance.
In your initial conditions, do you have
## u_t (x, 0) = 0, u(x, 0) = 6\sin ( \pi x ) - 3\sin (4\pi x) ##
It looks like maybe it is an ##n\pi x## or sometimes a ##u \pi x ## in your work.

Also, is Laplace the required method for this problem, or did you choose to use it?
 
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RUber said:
@Aows, I second the recommendation that you type out your problem and work. This will make it easier for us to follow your work and provide assistance.
In your initial conditions, do you have
## u_t (x, 0) = 0, u(x, 0) = 6\sin ( \pi x ) - 3\sin (4\pi x) ##
It looks like maybe it is an ##n\pi x## or sometimes a ##u \pi x ## in your work.

Also, is Laplace the required method for this problem, or did you choose to use it?
Hello Dr. Ruber,
the conditions are correct as it is
also, it is required to solve this problem with Laplace...
 

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