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Simplify three equations and write them in a matrix form?

vin Bha
Posted 5 years ago

research work

I want simply last three equation interms of Amn, Bmn, Cmn and also want to write in a matrix form.

Attaching herewith the expected solution image.enter image description here
POSTED BY: vin Bha
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1) Rohit's solution is perfectly correct.

2) Amn is zero, Bnm and Cmn are functions of x and y! So they have different values for different values of x and y. I don't see how one could avoid that

3)Again, what do you mean by "get rid of"?

4) Are you sure that your model is correct? Looking at the plots at the end of the notebook it seems they are somewhat strange.

Attachments:
research work.nb
POSTED BY: Hans Dolhaine

Vin,

I showed you how to remove the Sin and Cos terms using Assuming on this other thread BUT you must be certain they are not zero (or if they are zero that it does not matter to your solution).

https://community.wolfram.com/groups/-/m/t/1856471?p_p_auth=L9dN9FO4

Did you try that solution?
POSTED BY: Neil Singer
vin Bha
vin Bha
Posted 5 years ago
POSTED BY: vin Bha
Attachments:
research work.nb
POSTED BY: Hans Dolhaine
Bill Nelson
Bill Nelson
Posted 5 years ago

Can you use this method to get what you need?

{4,Sin[m Pi x/a], 2 Sin[n Pi y/b],m*Cos[m Pi x/a], Pi b Cos[n Pi y/b]}/.{Sin[__]->1,Cos[__]->1}

which replaces each Sin and Cos with 1 and returns

{4, 1, 2, m, b Pi}
POSTED BY: Bill Nelson
vin Bha
vin Bha
Posted 5 years ago
POSTED BY: vin Bha
Attachments:
research work.nb
POSTED BY: Hans Dolhaine

What was wrong with the result posted by Rohit Namjoshi ?
POSTED BY: Daniel Lichtblau
vin Bha
vin Bha
Posted 5 years ago

Can anybody solve the above equation???

POSTED BY: vin Bha
vin Bha
vin Bha
Posted 5 years ago

Thank you sir for your reply. i am having three equation which consists of three terms namely Amn, Bmn and Cmn which needs to be sorted out and write in matrix form.

In all three equation sin and cos terms are common through out the equation and thus can be eliminated and that is why sin and cos terms are not mentioned in the given matrix.!enter image description here

First i want to simplify those three equation by removing common terms( Sin and Cos terms). Second I want to convert those simplified equation in terms of matrix form with Amn, Bmn and Cmn in 3*1 matrix.

[3 x 3 matrix ][ 3 x 1 matrix ]=0.
POSTED BY: vin Bha
Rohit Namjoshi
Rohit Namjoshi
Posted 5 years ago

Without any constraints on the various constants in the equations, one solution is

{Amn -> 0, 
 Bmn -> -((Dqx ?xmn Csc[(n ? y)/b] Sec[(m ? x)/a])/(h ? ?mn^2)), 
 Cmn -> -((Dqy ?ymn Csc[(m ? x)/a] Sec[(n ? y)/b])/(h ? ?mn^2))}

I do not see how these relate to the matrix you have.
POSTED BY: Rohit Namjoshi
vin Bha
vin Bha
Posted 5 years ago
Attachments:
research work.nb
POSTED BY: vin Bha
vin Bha
vin Bha
Posted 5 years ago

I am attaching herewith the code.

Attachments:
research work.nb
POSTED BY: vin Bha
Rohit Namjoshi
Rohit Namjoshi
Posted 5 years ago

Please post code, not images, or attach a notebook with the code.
POSTED BY: Rohit Namjoshi
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