Partial Differntial Equation

  • #1
1
0

Homework Statement


The problem statement can be expressed in one of these forms listed in order of preference.
upload_2015-1-7_3-59-23.jpeg
upload_2015-1-7_3-59-23.jpeg
[/B]

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
18,668
8,634
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
21,953
5,001
Is phi a function of x and y?

Chet
 

Related Threads on Partial Differntial Equation

  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
6
Views
796
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
15
Views
2K
Replies
2
Views
706
Replies
3
Views
2K
Replies
0
Views
2K
Replies
4
Views
2K
  • Last Post
Replies
7
Views
2K
Top