Help with Method of Characteristics - PDE's

  • Thread starter rexasaurus
  • Start date
  • #1
14
0
1. Use the method of characteristics to solve: xux+yuy=1



2. given condition of u(x,y)=1 when x2+y2=1



3. I know I need to transpose into the s-t domain. Using: du/ds=uxdx/ds+uydy/ds=aux+buy
so a=x & b=y...

please help

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
14
0
I was able to solve for the following:
du/ds=1 integrate to get u=s+K1
dx/ds=x integrate to get x=K2es
dy/ds=y integrate to get y=K3es

I am unsure how to use the IC's
 

Related Threads on Help with Method of Characteristics - PDE's

Replies
1
Views
4K
Replies
1
Views
1K
Replies
0
Views
1K
  • Last Post
Replies
0
Views
2K
Replies
1
Views
904
Replies
7
Views
2K
Replies
5
Views
1K
Replies
2
Views
4K
Replies
2
Views
565
  • Last Post
Replies
1
Views
1K
Top