Partial Differntial Equation

  • #1
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Homework Statement


The problem statement can be expressed in one of these forms listed in order of preference.
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upload_2015-1-7_3-59-23.jpeg
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Every character with exception of x, y, t, and C are constants.

Homework Equations


I require a change of variable or series of subsequent change of variables that can convert any one of these equations into an equation having constant coefficients.

The Attempt at a Solution


I have tried x1=(U0*beta + x*Ud)
I have also tried d/dx=((U0*beta/x)+Ud) d/dx1 and d/dy=y d/dy1

where x1 and y1 are the new variables for x and y respectively.
I know how to do the rest, like changing the boundary conditions and finding an a solution, I just need an appropriate equation for my variable transformation.
Any comment at all (including things like this equation is not solvable and why that is so) regarding the problem will be welcomed.
 

Answers and Replies

  • #2
18,363
8,215
Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
  • #3
20,873
4,546
Is phi a function of x and y?

Chet
 

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