Solving partial differential equation with Laplace

[Aows]

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

 

[BvU]

"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...

 

[Aows]

"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]

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.

 

[Mark44]

who is kekce ?

I believe this says "laplace".

 

[RUber]

@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?

 

[Aows]

@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...